共查询到20条相似文献,搜索用时 46 毫秒
1.
Roberto Zucchini 《Communications in Mathematical Physics》2003,242(3):473-500
We consider a pure U(1) quantum gauge field theory on a general Riemannian compact four manifold. We compute the partition function with Abelian Wilson loop insertions. We find its duality covariance properties and derive topological selection rules. Finally, we show that, to have manifest duality, one must assume the existence of twisted topological sectors besides the standard untwisted one. 相似文献
2.
Existence and uniqueness of the solution are proved for the ‘master equation’ derived from the BPS equation for the vector multiplet scalar in the U(1) gauge theory with N
F charged matter hypermultiplets with eight supercharges. This proof establishes that the solutions of the BPS equations are completely characterized by the moduli matrices divided by the V-equivalence relation for the gauge theory at finite gauge couplings. Therefore the moduli space at finite gauge couplings is topologically the same manifold as that at infinite gauge coupling, where the gauged linear sigma model reduces to a nonlinear sigma model. The proof is extended to the U(N
C) gauge theory with N
F hypermultiplets in the fundamental representation, provided the moduli matrix of the domain wall solution is U(1)-factorizable. Thus the dimension of the moduli space of U(N
C) gauge theory is bounded from below by the dimension of the U(1)-factorizable part of the moduli space. We also obtain sharp estimates of the asymptotic exponential decay which depend on both the gauge coupling and the hypermultiplet mass differences. 相似文献
3.
Dual electrodynamics and corresponding Maxwell’s equations (in the presence of monopole only) are revisited from the symmetry
of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory
of generalized electromagnetic fields of dyons has been developed consistently from U(1)×U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for
U(1)×U(1) gauge symmetry for the justification of two four potentials of dyons. 相似文献
4.
Jae Hyung Yee 《Physics letters. [Part B]》1980,90(3):289-291
SU(3) gauge field theory is studied in the Coulomb gauge, and the topologically distinct, but gauge equivalent, vacuum configurations are analysed. Considering the gauge transformations of the form U ε U(2) ?SU(3)/U(2), we have obtained a new class of vacuum fields characterized by the topological quantum number η = ±1. 相似文献
5.
By generalizing a model previously proposed, a classical nonrelativistic U(1)×U(1) gauge field model for the electromagnetic interaction of composite particles in (2+1) dimensions is constructed. The model
contains a Chern–Simons U(1) field and the electromagnetic U(1) field, and it describes both a composite boson system or a composite fermion one. The second case is considered explicitly.
The model includes a topological mass term for the electromagnetic field and interaction terms between the gauge fields. By
following the Dirac Hamiltonian formalism for constrained systems, the canonical quantization for the model is realized. By
developing the path integral quantization method through the Faddeev–Senjanovic algorithm, the Feynman rules of the model
are established and its diagrammatic structure is discussed. The Becchi–Rouet–Stora–Tyutin formalism is applied to the model.
The obtained results are compared with the ones corresponding to the previous model. 相似文献
6.
7.
It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic
flows on a manifold and an associated dual by means of a conformal map. This method can be applied to a four dimensional manifold
of orbits in spacetime associated with a relativistic system. We show that a relativistic Hamiltonian which generates Einstein
geodesics, with the addition of a world scalar field, can be put into correspondence in this way with another Hamiltonian
with conformally modified metric. Such a construction could account for part of the requirements of Bekenstein for achieving
the MOND theory of Milgrom in the post-Newtonian limit. The constraints on the MOND theory imposed by the galactic rotation
curves, through this correspondence, would then imply constraints on the structure of the world scalar field. We then use
the fact that a Hamiltonian with vector gauge fields results, through such a conformal map, in a Kaluza-Klein type theory,
and indicate how the TeVeS structure of Bekenstein and Saunders can be put into this framework. We exhibit a class of infinitesimal gauge transformations
on the gauge fields Um(x){\mathcal{U}}_{\mu}(x) which preserve the Bekenstein-Sanders condition UmUm=-1{\mathcal{U}}_{\mu}{\mathcal{U}}^{\mu}=-1. The underlying quantum structure giving rise to these gauge fields is a Hilbert bundle, and the gauge transformations induce
a non-commutative behavior to the fields, i.e. they become of Yang-Mills type. Working in the infinitesimal gauge neighborhood
of the initial Abelian theory we show that in the Abelian limit the Yang-Mills field equations provide residual nonlinear
terms which may avoid the caustic singularity found by Contaldi et al. 相似文献
8.
The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U(1) gauge transformation on the fuzzy sphere is identified with the left U(N+1) transformation of the field, where a field is a bimodule over the quantized algebra . The interaction with a complex scalar field is also given.
Received: 21 January 1998 / Accepted: 4 February 2000 相似文献
9.
Starting with the definition of quaternion gauge theory, we have undertaken the study of SU(2)
e
×SU(2)
m
×U(1)
e
×U(1)
m
in terms of the simultaneous existence of electric and magnetic charges along with their Yang-Mills counterparts. As such,
we have developed the gauge theory in terms of four coupling constants associated with four-gauge symmetry SU(2)
e
×SU(2)
m
×U(1)
e
×U(1)
m
. Accordingly, we have made an attempt to obtain the abelian and non-Abelian gauge structures for the particles carrying simultaneously
the electric and magnetic charges (namely dyons). Starting from the Lagrangian density of two SU(2)×U(1) gauge theories responsible for the existence of electric and magnetic charges, we have discussed the consistent theory
of spontaneous symmetry breaking and Higgs mechanism in order to generate the masses. From the symmetry breaking, we have
generated the two electromagnetic fields, the two massive vector W
± and Z
0 bosons fields and the Higgs scalar fields. 相似文献
10.
A. Foussats E. Manavella C. Repetto O. P. Zandron O. S. Zandron 《International Journal of Theoretical Physics》1996,35(8):1679-1698
We construct a supersymmetric gauge model describing the electromagnetic interaction of anyons. This is done by means of the
supersymmetric generalization of theU(1) ×U(1) gauge theory. The model contains the statisticalU(1) gauge field endowed with a Chern-Simons mass term and the electromagnetic field, both with the corresponding superpartners,
coupled to matter fields. This constrained system is analyzed from the Hamiltonian point of view and the canonical quantization
is found. The path-integral method is used to develop the perturbative formalism. We define suitable propagators and vertices
and give the diagrammatics and the Feynman rules. 相似文献
11.
L. Polley 《Zeitschrift fur Physik C Particles and Fields》1993,59(1):105-108
It is shown forSU(N) andU(1) gauge groups that periodic spatial boundary conditions, as commonly used in lattice simulations, are not possible in the charged sectors of a local gauge theory. For charge-conjugate (C-)periodic boundary conditions the effective gauge action of fermions is derived. For nonzero chemical potential, the breakdown of translational invariance induced by the breakdown ofC symmetry is discussed. If translational invariance is abandoned, (anti)periodic spatial b.c. for fermions and for theSU(3) gauge field andC-periodic b.c. for theU(1) gauge field can be used. 相似文献
12.
B. M. Zupnik 《Letters in Mathematical Physics》1979,3(6):543-546
The nonlocal gauge group of unitary integral operators U
n (∞) is considered. Gluons in the nonlocal version of QCD are described by the bilocal gauge fields (BGF). The Higgs effect
for BGF are discussed. It is shown that the local SU(n) gauge theory can be treated as a local limit of spontaneously broken U
n(∞)/SU(n) BGF theory. 相似文献
13.
14.
The study of superconductivity has been undertaken through the breaking of supersymmetric gauge theories which automatically
incorporate the condensation of monopoles and dyons leading to confining and superconducting phases. Constructing the effective
Lagrangian near a singularity in moduli space for N=2 supersymmetric theory with SU(2) gauge group, it has been shown that when a mass term is added to this Lagrangian, the N=2 Supersymmetry is reduced to N=1 supersymmetry yielding the dyonic condensation which leads to confinement and superconductivity as the consequence of generalized
Meissner effect. In the Coulomb phase of N=2 SU(3) Yang–Mills theory the gauge symmetry has been broken down to SU(2)×U(l) and it has been shown that on perturbing it by suitable tree-level superpotential this supersymmetry theory breaks to N=1 SU(2) Yang-Mills theory described by Higgs field in confining phase incorporating superconductivity. 相似文献
15.
Pushpa P. S. Bisht Tianjun Li O. P. S. Negi 《International Journal of Theoretical Physics》2012,51(10):3228-3235
In this paper, Grand Unified theories are discussed in terms of quaternions and octonions by using the relation between quaternion basis elements with Pauli matrices and Octonions with Gell Mann λ matrices. Connection between the unitary groups of GUTs and the normed division algebra has been established to re-describe the SU(5) gauge group. We have thus described the SU(5) gauge group and its subgroup SU(3) C ×SU(2) L ×U(1) by using quaternion and octonion basis elements. As such the connection between U(1) gauge group and complex number, SU(2) gauge group and quaternions and SU(3) and octonions is established. It is concluded that the division algebra approach to the theory of unification of fundamental interactions as the case of GUTs leads to the consequences towards the new understanding of these theories which incorporate the existence of magnetic monopole and dyon. 相似文献
16.
The paper examines the emergence of gauge fields during the evolution of a particle with a spin that is described by a matrix Hamiltonian with n different eigenvalues. It is shown that by introducing a spin gauge field a particle with a spin can be described as a spin multiplet of scalar particles situated in a non-Abelian pure gauge (forceless) field U (n). As the result, one can create a theory of particle evolution that is gauge-invariant with regards to the group Un (1). Due to this, in the adiabatic (Abelian) approximation the spin gauge field is an analogue of n electromagnetic fields U (1) on the extended phase space of the particle. These fields are force ones, and the forces of their action enter the particle motion equations that are derived in the paper in the general form. The motion equations describe the topological spin transport, pumping, and splitting. The Berry phase is represented in this theory analogously to the Dirac phase of a particle in an electromagnetic field. Due to the analogy with the electromagnetic field, the theory becomes natural in the four-dimensional form. Besides the general theory, the article considers a number of important particular examples, both known and new. 相似文献
17.
Summary The gauge technique in unbroken (exact) relativistic quantum electrodynamics is applied to the nonrelativistic BCS theory
exhibiting spontaneously brokenU(1) gauge invariance. In addition to the BCS-type solution, we find an interestingnew solution forweak coupling exhibiting ahigh T
c.
The authors of this paper have agreed to not receive the proofs for correction. 相似文献
18.
P. K. Anastasovski T. E. Bearden C. Ciubotariu W. T. Coffey L. B. Crowell G. J. Evans M. W. Evans R. Flower S. Jeffers A. Labounsky B. Lehnert M. Mészáros P. R. Molnar S. Roy J. P. Vigier 《Foundations of Physics Letters》2002,15(6):561-568
The Aharonov-Bohm effect shows that the vacuum is structured, and that there can exist a finite vector potentialA in the vacuum when the electric field strengthE and magnetic flux densityB are zero. It is shown on this basis that gauge theory produces energy inherent in the vacuum. The latter is considered as
the internal space of the gauge theory, containing a field made up of components ofA, to which a local gauge transformation is applied to produce the electromagnetic field tensor, a vacuum charge/current density,
and a topological charge g. Local gauge transformation is the result of special relativity and introduces spacetime curvature,
which gives rise to an electromagnetic field whose source is a vacuum charge current density made up ofA and g. The field carries energy to a device which can in principle extract energy from the vacuum. The development is given
forU(1) andO(3) invariant gauge theory applied to electrodynamics.
Former Edward Davies Chemical Laboratories, University College of Wales, Aberystwyth SY32 1NE, Wales, United Kingdom. 相似文献
19.
A generalization of gauge theory in which the gauge potential1-form is replaced by a p-form is studied. Charged particles are then replaced by elementary extended objects of dimension p–1. It is shown that this extension is compatible with space-time locality only if the gauge group is U(1). A source which is a closed p–1 surface has zero total charge and corresponds to a particle-antiparticle pair. Its quantum rate of production in an external uniform field is evaluated semiclassically. The analog of the Dirac magnetic pole is constructed. It is another extended object, of dimension n–p–3, where n is the dimension of space-time. The electric and magnetic charges obey the Dirac quantization condition. This condition is derived in two different ways. One method makes use of local gauge patches and the other brings in singular gauge transformations. A topological mass term is introduced and it is shown that it can coexist with a magnetic pole when n=2p+1, provided the topological mass is quantized. 相似文献
20.
Ali H. Chamseddine 《Communications in Mathematical Physics》2001,218(2):283-292
The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates
to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed star
product. An immediate consequence of this is that all fields get complexified. The only possible noncommutative Yang–Mills
theory is the one with U(N) gauge symmetry. By applying this idea to gravity one discovers that the metric becomes complex. We show in this article
that this procedure is completely consistent and one can obtain complexified gravity by gauging the symmetry U(1,D−1) instead of the usual SO(1,D−1). The final theory depends on a Hermitian tensor containing both the symmetric metric and antisymmetric tensor. In contrast
to other theories of nonsymmetric gravity the action is both unique and gauge invariant. The results are then generalized
to noncommutative spaces.
Received: 1 June 2000 / Accepted: 27 November 2000 相似文献