共查询到20条相似文献,搜索用时 31 毫秒
1.
A classical nonrelativistic U(1)×U(1) gauge field model that describes the topologically massive electromagnetic interaction of composite particles in (2+1)
dimensions is proposed. The model, generalization of a previously postulated one, contains a Chern-Simons U(1) field and the topologically massive electromagnetic U(1) field, and it uses both a composite boson system or a composite fermion one. The second case is considered explicitly.
By using the Dirac Hamiltonian method for constrained systems, the canonical quantization is carried out. By means of the
Faddeev-Senjanovic formalism, the path integral quantization is developed. Consequently, the Feynman rules are established
and the diagrammatic structure is treated. The application of the Becchi-Rouet-Stora-Tyutin algorithm is discussed. The present
and previous models are compared. 相似文献
2.
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
3.
E. C. Manavella 《International Journal of Theoretical Physics》2001,40(8):1453-1474
A classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of composite particles is proposed and the quantum formalism is constructed. This gauge model containing a Chern–Simons U(1) field and the electromagnetic U(1) field can be coupled to both a bosonic or a fermionic matter field. We explicitly consider the second case, a composite fermion system in the presence of an electromagnetic field, and we carry out the canonical quantization by the Dirac method. The path integral approach is developed and the Feynman rules are established. A simplified model is considered. As an alternative path integral method, the BRST formalism for this gauge model is also treated. 相似文献
4.
A geometric model for the quantum nature of interaction fields is proposed. We utilize a trivial fibre bundle whose typical
fibre has a multiconnectivity characterized by a discrete group Γ. By seeing Γ as a gauge group with global action on each
fibre, we show that the corresponding field strength is non-zero only on the future part of the light cone whose vertex is
at the interaction point. When the interaction is submitted to the symmetries of a Lie group G, we consider the gauge group G x Γ. The field strength of the gauge having this group includes a term expressing the quantization of the interaction field
described by G. This geometric interpretation of quantization makes use of topological arguments similar to those applied to explain the
Aharonov-Bohm effect. Two examples show how this interpretation applies to the cases of electromagnetic and gravitational
fields.
相似文献
5.
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
6.
The system of a chiral fermion field coupled to a background gauge field is considered. By taking what we call the particle picture and carefully defining the S-matrix in the Heisenberg picture, we investigate anomalous phenomena in this system. It is shown by explicit calculations that the gauge-field configuration with nonvanishing topological-charge causes anomalous production of particles that is directly responsible for the chiral U(1) anomaly. Unlike the chiral U(1) anomaly, the gauge anomaly, that is, gauge non-invariance of the S-matrix is a problem that arises in the phase of the S-matrix. It is shown that this phase is related to the freedom existing in the quantization method, and that a suitably chosen phase which of course is consistent with the equation of motion can remove the gauge anomaly. Finally, a modified form of path-integral quantization for this system is proposed. 相似文献
7.
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
8.
S. Rajpoot 《International Journal of Theoretical Physics》1988,27(6):689-693
By considering the symmetries associated with baryon number and lepton number conservation as gauge symmetries, the underlying gauge symmetry of weak electromagnetic interactions is shown to beSU(2)
L
×U(1)×U(1)Baryon×U(1)Lepton. If right-handed currents exist on a par with the observed left-handed ones, then the full symmetry of electroweak interactions that emerges isSU(2)L×SU(2)R×U(1)Baryon×U(1)Lepton. These symmetries offer a rich spectrum of massive neutral gauge bosons, one of which is the massive neutral boson of the standardSU(2)
L
×U(1)
Y
model. 相似文献
9.
Hans Henrik Rugh 《Communications in Mathematical Physics》1999,200(2):487-494
We study the classical Hamiltonian dynamics of the Kogut–Susskind model for lattice gauge theories on a finite box in a d-dimensional integer lattice. The coupling constant for the plaquette interaction is denoted λ2. When the gauge group is a real or a complex subgroup of a unitary matrix group U(N), N≥ 1, we show that the maximal Lyapunov exponent is bounded by , uniformly in the size of the lattice, the energy of the system as well as the order, N, of the gauge group.
Received: 20 December 1997 / Accepted: 21 July 1998 相似文献
10.
Using the boundary state formalism, we study a moving Dp-brane in a partially compact space-time in the presence of background fields: the Kalb-Ramond field B
μν, a U(1) gauge field A
α, and the tachyon field. The boundary state enables us to obtain the interaction amplitude of two branes with the above back-ground
fields. The branes are parallel or perpendicular to each other. Because of the presence of background fields, compactification
of some space-time directions, motion of the branes, and the arbitrariness of the dimensions of the branes, the system is
rather general. Due to the tachyon fields and velocities of the branes, the behavior of the interaction amplitude reveals
obvious differences from the conventional behavior. 相似文献
11.
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
12.
David Hestenes 《Foundations of Physics》1982,12(2):153-168
The generator of electromagnetic gauge transformations in the Dirac equation has a unique geometric interpretation and a unique extension to the generators of the gauge group SU(2) × U(1) for the Weinberg-Salam theory of weak and electromagnetic interactions. It follows that internal symmetries of the weak interactions can be interpreted as space-time symmetries of spinor fields in the Dirac algebra. The possibilities for interpreting strong interaction symmetries in a similar way are highly restricted. 相似文献
13.
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
14.
R.P. Malik 《The European Physical Journal C - Particles and Fields》2007,51(1):169-177
We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for
the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework
of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition
is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, xμ(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-)
BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge
field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed
out clearly.
PACS 11.15.-q; 12.20.-m; 03.70.+k 相似文献
15.
A possible minimal model of the gauge–Higgs unification based on the higher dimensional spacetime M
4⊗(S
1/Z
2) and the bulk gauge symmetry SU(3)
C
⊗SU(3)
W
⊗U(1)
X
is constructed in some detail. We argue that the Weinberg angle and the electromagnetic current can be correctly identified
if one introduces the extra U(1)
X
above and a bulk scalar triplet. The VEV of this scalar as well as the orbifold boundary conditions will break the bulk gauge
symmetry down to that of the standard model. A new neutral zero-mode gauge boson Z′ exists that gains mass via this VEV. We propose a simple fermion content that is free from all the anomalies when the extra
brane-localized chiral fermions are taken into account as well. The issues on recovering a standard model chiral-fermion spectrum
with the masses and flavor mixing are also discussed, where we need to introduce the two other brane scalars which also contribute
to the Z′ mass in the similar way as the scalar triplet. The neutrinos can get small masses via a type I seesaw mechanism. In this
model, the mass of the Z′ boson and the compactification scale are very constrained being, respectively, given in the ranges: 2.7 TeV<m
Z′<13.6 TeV and 40 TeV<1/R<200 TeV. 相似文献
16.
D. S. Kulshreshtha 《Few-Body Systems》2012,52(3-4):463-467
Light-front quantization of the conformally gauge-fixed Polyakov D1 brane action in the presence of a constant background scalar axion field C(τ, σ) and an U(1) gauge field A α (τ, σ) is studied. The axion field C and the U(1) gauge field A α , are seen to behave like the Wess–Zumino (WZ) fields and the term involving these fields is seen to behave like a WZ term for this action. 相似文献
17.
Yong-Long Wang Yu Du Gui-Hua Zhang 《International Journal of Theoretical Physics》2006,45(11):2079-2083
In (2+1) space-time dimensions, CP1 nonlinear σ model with Maxwell–Chern–Simons (MCS) term is studied by Ward identities. Firstly we revised, in the Coulomb gauge, the system is quantized in Faddeev–Senjanovic (FS) path integral quantization formalism. The canonical Ward identities are then given. Based on the Ward identities, the relations of the generating functional of proper vertex can be derived, and be expressed in Feynman rules with one-loop graphs. 相似文献
18.
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
19.
A. E. Bernardini 《International Journal of Theoretical Physics》2008,47(4):971-976
We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which
a gauge transformation ruled by an SU(n)
U
⊗
SU(m)
V
coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard
model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation
applied to generalized SU(n)
U
⊗
SU(m)
V
symmetries as well as for complementing an introductory study of the standard model of elementary particles. 相似文献
20.
Zhaowen Yan 《Journal of Nonlinear Mathematical Physics》2016,23(3):335-342
The Heisenberg supermagnet model which is the supersymmetric generalization of the Heisenberg ferromagnet model is an important integrable system. We consider the deformations of Heisenberg supermagnet model under the two constraint 1. S2 = S for S ∈ USPL(2/1)/S(L(1/1) × U(1)) and 2. S2 = 3S ? 2I S ∈ USPL(2/1)/S(U(2) × U(1)). By means of the gauge transformation, we construct the gauge equivalent counterparts, i.e., the super generalized Hirota equation and Gramman odd nonlinear Schrödinger equation. 相似文献