scholarly journals Vortex Condensates for Relativistic Abelian Chern-Simons Model with Two Higgs Scalar Fields and Two Gauge Fields on a Torus

2009 ◽  
Vol 288 (1) ◽  
pp. 311-347 ◽  
Author(s):  
Chang-Shou Lin ◽  
Jyotshana V. Prajapat
Keyword(s):  
Scalar Fields ◽  
Gauge Fields ◽  
Chern Simons ◽  
Higgs Scalar

FERMIONIZATION OF SELF-INTERACTING CHARGED SCALAR FIELDS COUPLED TO ABELIAN CHERN-SIMONS GAUGE FIELDS IN 2+1 DIMENSIONS

1991 ◽  
Vol 06 (07) ◽  
pp. 553-558 ◽  
Author(s):  
SAMIR K. PAUL ◽  
R. SHANKAR ◽  
M. SIVAKUMAR
Keyword(s):  
Perturbation Theory ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Charged Scalar ◽  
Text Interaction ◽  
Chern Simons

We show, to all orders in perturbation theory, that the theory of charged scalars in 2+1 dimensions with a |ϕ|4 self-interaction coupled to Chern-Simons gauge fields is equivalent to a theory of self-interacting fermions with a [Formula: see text] interaction.

scholarly journals Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes

2017 ◽  
Vol 32 (04) ◽  
pp. 1750019 ◽  
Author(s):  
R. Bufalo ◽  
M. Ghasemkhani
Keyword(s):  
Three Dimensional ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Polarization Tensor ◽  
Charged Scalar ◽  
Self Energy ◽  
Charged Scalar Field ◽  
The One ◽  
Chern Simons ◽  
Yukawa Theory

In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern–Simons polarization tensor. In order to properly define the behavior of the quantum fields, the known UV/IR mixing due to radiative corrections is analyzed in the one-loop physical dispersion relation of the scalar and gauge fields.

scholarly journals ON CANONICAL QUANTIZATION OF THE GAUGED WZW MODEL WITH PERMUTATION BRANES

2011 ◽  
Vol 26 (26) ◽  
pp. 4647-4660
Author(s):  
GOR SARKISSIAN
Keyword(s):  
Riemann Surface ◽  
Phase Space ◽  
Boundary Conditions ◽  
Canonical Quantization ◽  
Simons Theory ◽  
Gauge Fields ◽  
Time Line ◽  
Chern Simons ◽  
Special Case ◽  
Chern Simons Theory

In this paper we perform canonical quantization of the product of the gauged WZW models on a strip with boundary conditions specified by permutation branes. We show that the phase space of the N-fold product of the gauged WZW model G/H on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of the double Chern–Simons theory on a sphere with N holes times the time-line with G and H gauge fields both coupled to two Wilson lines. For the special case of the topological coset G/G we arrive at the conclusion that the phase space of the N-fold product of the topological coset G/G on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of Chern–Simons theory on a Riemann surface of the genus N-1 times the time-line with four Wilson lines.

scholarly journals Higgs Scalar Fields and Discrete Symmetry

1995 ◽  
Vol 93 (6) ◽  
pp. 1093-1104 ◽  
Author(s):  
G. Konisi ◽  
T. Saito
Keyword(s):  
Scalar Fields ◽  
Discrete Symmetry ◽  
Higgs Scalar

scholarly journals Inflationary birefringence and baryogenesis

2016 ◽  
Vol 25 (11) ◽  
pp. 1640013 ◽  
Author(s):  
Stephon Alexander
Keyword(s):  
Gravitational Waves ◽  
Lepton Number ◽  
Gauge Fields ◽  
Lepton Asymmetry ◽  
Complex Phase ◽  
Inflaton Field ◽  
Model Based ◽  
Cross Correlations ◽  
Chern Simons

A decade ago, the first leptogenesis model based on inflation was proposed, where the complex phase of the inflaton field carries lepton number [S. H. S. Alexander, M. E. Peskin and M. M. Sheikh-Jabbari, Phys. Rev. Lett. 96 (2006) 081301, arXiv:hep-th/0403069 ]. If the inflaton field is an axion, it can couple to gravitational waves and gauge fields via Chern–Simons invariants. Due to these couplings, birefringent gravitational and gauge primordial perturbations are created during inflation to generate a lepton asymmetry, establishing a possible connection between nonvanishing TB-parity-violating polarization cross-correlations and leptogenesis. We also discuss the prospect for a subset of these models which can directly source circular (V-mode) polarization in the CMB.

FERMI-BOSE TRANSMUTATIONS INDUCED BY GAUGE FIELDS

1988 ◽  
Vol 01 (11n12) ◽  
pp. 455-455 ◽  
Author(s):  
A.M. POLYAKOV
Keyword(s):  
Gauge Theory ◽  
Charged Particles ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Chern Simons

We show that in (2+1) -dimensional abelian gauge theory with the Chern-Simons term in the action, charged particles reverse their statistics.

Classical fields in curved spacetime

2021 ◽  
pp. 294-313
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Vector Fields ◽  
Lorentz Invariance ◽  
Conformal Symmetry ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Curved Spacetime ◽  
Curved Space ◽  
Spinor Fields ◽  
Vector Gauge ◽  
Classical Fields

This chapter discusses classical fields in an arbitrary Riemann spacetime. General considerations are followed by the formulation of scalar fields with non-minimal coupling. Spontaneous symmetry breaking in curved space is shown to provide the induced gravity action with a cosmological constant. The construction of spinor fields in curved spacetime is based on the notions of group theory from Part I and on the local Lorentz invariance. Massless vector fields (massless vector gauge fields) are described and the interactions between scalar, fermion and gauge fields formulated. A detailed discussion of classical conformal transformations and conformal symmetry for both matter fields and vacuum action is also provided.

scholarly journals FIELD DECOMPOSITION AND THE GROUND STATE STRUCTURE OF SU(2) YANG–MILLS THEORY

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
Author(s):  
LISA FREYHULT
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Scalar Fields ◽  
Background Field ◽  
Field Method ◽  
Gauge Fields ◽  
Ground State Structure ◽  
State Structure ◽  
Yang Mills ◽  
Background Field Method

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.

scholarly journals BERRY CONNECTIONS AND INDUCED GAUGE FIELDS IN QUANTUM MECHANICS ON SPHERE

2000 ◽  
Vol 15 (18) ◽  
pp. 1203-1212 ◽  
Author(s):  
HITOSHI IKEMORI ◽  
SHINSAKU KITAKADO ◽  
HIDEHARU OTSU ◽  
TOSHIRO SATO
Keyword(s):  
Quantum Mechanics ◽  
Effective Action ◽  
Degrees Of Freedom ◽  
Gauge Fields ◽  
Chern Simons ◽  
Topological Term

Quantum mechanics on sphere Sn is studied from the viewpoint that the Berry's connection has to appear as a topological term in the effective action. Furthermore we show that this term is the Chern–Simons term of gauge variables that correspond to the extra degrees of freedom of the enlarged space.

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