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1.
This paper is a sequel of a previous one (Scalar mesons in a chiral quark model with glueball, Eur. Phys. J. A 8, 567 (2000)) where an attempt to construct an effective U(3)×U(3)-symmetric meson Lagrangian with a scalar glueball was made. The glueball was introduced by using the dilaton model on
the base of scale invariance. The scale invariance breaking because of current quark masses and the scale anomaly of QCD,
reproduced by the dilaton potential, was taken into account. However, in the previous paper, the scale invariance breaking
because of the terms like h
φφ2 and h
σ
, where φ and are the pseudoscalar and scalar isosinglets, was not taken into account. These terms are produced by the part of the 't Hooft
interaction that is connected with gluon anomalies. Allowing for the scale invariance breaking by these terms has a decisive
effect on the quarkonium-glueball mixing and noticeably changes the widths of glueball strong decays. Taking account of this
additional source of the scale invariance breaking and its implications are the subject of the present work. It is also shown
that in the decay of a glueball into four pions, the channel with two ρ-resonances dominates.
Received: 11 January 2001 / Accepted: 25 January 2001 相似文献
2.
Yong-Chang Huang Xi-Guo Lee Liu-Ji Li 《International Journal of Theoretical Physics》2007,46(2):221-236
We give a general SU(2)
L
× SU(2)
R
× U(1)
EM
sigma model with external sources, dynamical breaking and spontaneous vacuum symmetry breaking, and present the general formulation
of the model. It is found that σ and π0 without electric charges have electromagnetic interaction effects coming from their internal structures. A general Lorentz
transformation relative to external sources is derived, using the general Lorentz transformation and the four-dimensional current of nuclear matter of the ground state
with J
gauge = 0, we give the four-dimensional general relations between the different currents of nuclear matter systems with J
gauge≠ 0 and those with J
gauge = 0. The relation of the density’s coupling with external magnetic field is derived, which conforms well to dense nuclear
matter in a strong magnetic field. We show different condensed effects in strong interaction about fermions and antifermions,
and give the concrete scalar and pseudoscalar condensed expressions of σ0 and π0 bosons. About different dynamical breaking and spontaneous vacuum symmetry breaking, the concrete expressions of different
mass spectra are obtained in field theory. This paper acquires the running spontaneous vacuum breaking value σ′0, and obtains the spontaneous vacuum breaking in terms of the running σ′0, which make nucleon, σ and π particles gain effective masses. We achieve both the effect of external sources and nonvanishing
value of the condensed scalar and pseudoscalar paticles. It is deduced that the masses of nucleons, σ and π generally depend
on different external sources.
PACA numbers: 24.10.-i, 11.30.Qc 相似文献
3.
V. P. Neznamov 《Physics of Particles and Nuclei》2012,43(1):36-41
The Standard Model with massive fermions is formulated in the isotopic Foldy-Wouthuysen representation. SU(1) × U(1) — invariance of the theory in this representation is independent of whether fermions possess mass or not, and, consequently,
it is not necessary to introduce interactions between Higgs bosons and fermions. The study discusses a possible relation between
spontaneous breaking of parity in the isotopic Foldy-Wouthuysen representation and the composition of elementary particles
of “dark matter”. 相似文献
4.
N. N. Achasov 《Physics of Atomic Nuclei》2007,70(5):862-863
It is argued that the realization of gauge invariance condition as a consequent of cancellation between the ϕ → γf
0 → γπ
0
π
0 resonance contribution and the ϕ → γπ
0
π
0 background one, suggested by A.V. Anisovich et al., Yad. Fiz. 68, 1614 (2005), is misleading.
The text was submitted by the author in English. 相似文献
5.
Satish D Joglekar 《Pramana》1988,31(6):461-467
We discuss renormalization of an O(3) gauge model with the gauge fixing term given by ℒg.f.=-1/ζ|(∂μ-igA
3
μ
)W
+μ|2-(1/2α)(∂A
3)2. We utilize earlier results on the general theory of renormalization of gauge theories in quadratic gauges to prove multiplicative
renormalizability of the theory together with a subtractive renormalization of gauge fixing and ghost terms. We show that
this model has a double BRS invariance and that it is preserved under renormalization. 相似文献
6.
M.A.L. Capri D. Dudal V.E.R. Lemes R.F. Sobreiro S.P. Sorella R. Thibes H. Verschelde 《The European Physical Journal C - Particles and Fields》2007,52(2):459-476
We prove that the nonlocal gauge invariant mass dimension 2 operator Fμν(D2)-1Fμν can be consistently added to the Gribov–Zwanziger action, which implements the restriction of the path integral’s domain
of integration to the first Gribov region when the Landau gauge is considered. We identify a local polynomial action and prove
the renormalizability to all orders of perturbation theory by employing the algebraic renormalization formalism. Furthermore,
we also pay attention to the breaking of the BRST invariance, and to the consequences that this has for the Slavnov–Taylor
identity.
PACS 11.15.-q; 11.15.Tk 相似文献
7.
8.
Q. Duret B. Machet M. I. Vysotsky 《The European Physical Journal C - Particles and Fields》2009,61(2):247-278
Arguments coming from Quantum Field Theory are supplemented with a 1-loop perturbative calculation to settle the non-unitarity
of mixing matrices linking renormalized mass eigenstates to bare flavor states for non-degenerate coupled fermions. We simultaneously
diagonalize the kinetic and mass terms and counterterms in the renormalized Lagrangian. SU(2)
L
gauge invariance constrains the mixing matrix in charged currents of renormalized mass states, for example the Cabibbo matrix,
to stay unitary. Leaving aside CP violation, we observe that the mixing angles exhibit, within experimental uncertainty, a very simple breaking pattern of
SU(2)
f
horizontal symmetry linked to the algebra of weak neutral currents, the origin of which presumably lies beyond the Standard
Model. It concerns on the one hand the three quark mixing angles; on the other hand a neutrino-like pattern in which θ
23 is maximal and tan (2θ
12)=2. The Cabibbo angle fulfills the condition tan (2θ
c
)=1/2 and θ
12 for neutrinos satisfies accordingly the “quark–lepton complementarity condition” θ
c
+θ
12=π/4. θ
13=±5.7⋅10−3 are the only values obtained for the third neutrino mixing angle that lie within present experimental bounds. Flavor symmetries,
their breaking by a non-degenerate mass spectrum, and their entanglement with the gauge symmetry, are scrutinized; the special
role of flavor rotations as a very mildly broken symmetry of the Standard Model is outlined. 相似文献
9.
Kazuharu Bamba C. Q. Geng S. H. Ho W. F. Kao 《The European Physical Journal C - Particles and Fields》2012,72(4):1978
We investigate the generation of large-scale magnetic fields due to the breaking of the conformal invariance in the electromagnetic
field through the CPT-even dimension-six Chern–Simons-like effective interaction with a fermion current by taking account of the dynamical Kalb–Ramond
and scalar fields in inflationary cosmology. It is explicitly demonstrated that magnetic fields on 1 Mpc scale with the field
strength of ∼10−9 G at the present time can be induced. 相似文献
10.
Anna Kamińska Stéphane Lavignac 《The European Physical Journal C - Particles and Fields》2011,71(12):1811
We study the interplay between the spontaneous breaking of a global symmetry of the Higgs sector and gauge-mediated supersymmetry
breaking, in the framework of a supersymmetric model with global SU(3) symmetry. In addition to solving the supersymmetric flavor problem and alleviating the little hierarchy problem, this
scenario automatically triggers the breaking of the global symmetry and provides an elegant solution to the μ/Bμ problem of gauge mediation. We study in detail the processes of global symmetry and electroweak symmetry breaking, including
the contributions of the top/stop and gauge-Higgs sectors to the one-loop effective potential of the pseudo-Goldstone Higgs
boson. While the joint effect of supersymmetry and of the global symmetry allows in principle the electroweak symmetry to
be broken with little fine-tuning, the simplest version of the model fails to bring the Higgs mass above the LEP bound due
to a suppressed tree-level quartic coupling. To cure this problem, we consider the possibility of additional SU(3)-breaking contributions to the Higgs potential, which results in a moderate fine-tuning. The model predicts a rather low
messenger scale, a small tanβ value, a light Higgs boson with Standard Model-like properties, and heavy higgsinos. 相似文献
11.
David A. Owen 《Foundations of Physics》1997,27(1):57-66
We develop here the general treatment of the Bethe—Salpeter equation for the bound state of two spin-l particles interacting through an electromagnetic interaction. The treatment here, which can be generalized to strong interactions,
combines the two-component approach utilized previously by the author in conjunction with spontaneous symmetry breaking. This
is done by using a Lagrangian having SU(2)×U(1) symmetry (without fermions) and then choosing the ′t Hooft gauge. In this way, a renormalizable theory for the interaction
of two spin-l particles via an electromagnetic interaction is ensured. 相似文献
12.
T. Temesvári I. Kondor C. De Dominicis 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,18(3):493-500
The reparametrization transformation between ultrametrically organised states of replicated disordered systems is explicitly
defined. The invariance of the longitudinal free energy under this transformation, i.e. reparametrization invariance, is shown to be a direct consequence of the higher level symmetry of replica equivalence. The
double limit of infinite step replica symmetry breaking and is needed to derive this continuous gauge-like symmetry from the discrete permutation invariance of the n replicas. Goldstone's theorem and Ward identities can be deduced from the disappearance of the second (and higher order)
variation of the longitudinal free energy. We recall also how these and other exact statements follow from permutation symmetry
after introducing the concept of “infinitesimal" permutations.
Received 21 July 2000 相似文献
13.
We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. Our procedure answers completely to the requirements by 't Hooft for “perturbative confinement”. 相似文献
14.
S. W. Lovesey 《Zeitschrift für Physik B Condensed Matter》1980,40(1-2):117-126
The structure of annealed and quenched models with localU(1) gauge invariance is studied in terms of the Helmholtz free energy. The first non-trivial, or one-loop, account of fluctuations in the annealed model suggests that spontaneous symmetry breaking occurs in two and three dimensions, through a first-order phase transition. Within the same approximation scheme, the quenched model displays a continuous phase transition. A more complete account of the fluctuations in the annealed model changes the nature of the transition to a continuous one, whereas spontaneous symmetry breaking is then absent with quenched disorder. 相似文献
15.
《Physics letters. [Part B]》1988,201(1):78-84
We give a complete classification of gauge symmetry breaking by Wilson lines on the standard Z orbifold by deriving the general formula of the conditions of modular invariance and group invariance in the presence of background gauge fields. All possible E6×SU(3) breaking in terms of one Wilson line is given. The symmetries of the electroweak and grand unification are obtained by combining two Wilson lines. 相似文献
16.
Hadi Salehi 《International Journal of Theoretical Physics》1997,36(9):2035-2042
A dynamical theory is studied in which a scalar field ϕ in Einstein-Minkowski space is coupled to the four-velocityN
μ of a preferred inertial observer in that space. As a consistent requirement on this coupling we study a principle of duality
invariance of the dynamical mass term of ϕ at some universal length in the small-distance regime. In the large-distance regime
duality breaking can be introduced by giving a background value to ϕ and a background direction toN
μ. It is shown that, in an appropriate approximation, duality breaking can be related to the emergence of a characteristic
phase in which the condensation of the ground state allows massive excitations with a characteristic scale of squared mass
which agrees with the present observational bound for the cosmological constant. 相似文献
17.
Ema Maia 《Letters in Mathematical Physics》1981,5(6):531-537
We consider an extension of the supersymmetry formalism in order to include gauge fields. We construct a fiber bundle P(M
4×{θ}, G) over the superspace with the gauge group as the structural group. We obtain the equations of interacting pure Yang-Mills
and massless Higgs fields, considering these fields as the components of the same gauge field. Moreover, by fixing a gauge
we generate a mass as a result of the supersymmetry breaking.
Supported by Instituto Nacional de Investigacao Cientifica (Lisboa). 相似文献
18.
Günter Scharf 《General Relativity and Gravitation》2010,42(3):471-487
Massive gravity which has been constructed from a cohomological formulation of gauge invariance by means of the descent equations
is here investigated in the classical limit. Gauge invariance requires a vector-graviton field v coupled to the massive tensor field h
μν
. In the limit of vanishing graviton mass the v-field does not decouple. On the classical level this leads to a modification of general relativity. The contribution of the
v-field to the energy-momentum tensor can be interpreted as dark matter density and pressure. We solve the modified field equations
in the simplest spherically symmetric geometry. 相似文献
19.
We derive conservation and balance laws for the translational gauge theory of dislocations by applying Noether's theorem. We present an improved translational gauge theory of dislocations including the dislocation density tensor and the dislocation current tensor. The invariance of the variational principle under the continuous group of transformations is studied. Through Lie's infinitesimal invariance criterion we obtain conserved translational and rotational currents for the total Lagrangian made up of an elastic and dislocation part. We calculate the broken scaling current. Looking only on one part of the whole system, the conservation laws are changed into balance laws. Because of the lack of translational, rotational and dilatation invariance for each part, a configurational force, moment and power appears. The corresponding J , L and M integrals are obtained. Only isotropic and homogeneous materials are considered and we restrict ourselves to a linear theory. We choose constitutive laws for the most general linear form of material isotropy. Also we give the conservation and balance laws corresponding to the gauge symmetry and the addition of solutions. From the addition of solutions we derive a reciprocity theorem for the gauge theory of dislocations. Also, we derive the conservation laws for stress-free states of dislocations. 相似文献