ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM

1989 ◽  
Vol 04 (05) ◽  
pp. 1055-1064 ◽  
Author(s):  
N. NAKANISHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Three Dimensional ◽  
Asymptotic Completeness ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Gauge ◽  
Asymptotic Fields

The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

scholarly journals ON THE HOLOMORPHICALLY FACTORIZED PARTITION FUNCTION FOR ABELIAN GAUGE THEORY IN SIX DIMENSIONS

2002 ◽  
Vol 17 (03) ◽  
pp. 383-393 ◽  
Author(s):  
ANDREAS GUSTAVSSON
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Gauge Field ◽  
Hamiltonian Formulation ◽  
Partition Functions ◽  
Modular Invariant ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Six Dimensions ◽  
The One

We use holomorphic factorization to find the partition functions of an Abelian two-form chiral gauge-field on a flat six-torus. We prove that exactly one of these partition functions is modular invariant. It turns out to be the one that previously has been found in a Hamiltonian formulation.

Yang–Mills for historians and philosophers

2016 ◽  
Vol 31 (07) ◽  
pp. 1630007
Author(s):  
R. P. Crease
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Mass Term ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Sequence Of Events

The phrase “Yang–Mills” can be used (1) to refer to the specific theory proposed by Yang and Mills in 1954; or (2) as shorthand for any non-Abelian gauge theory. The 1954 version, physically speaking, had a famous show-stopping defect in the form of what might be called the “Pauli snag,” or the requirement that, in the Lagrangian for non-Abelian gauge theory the mass term for the gauge field has to be zero. How, then, was it possible for (1) to turn into (2)? What unfolding sequence of events made this transition possible, and what does this evolution say about the nature of theories in physics? The transition between (1) and (2) illustrates what historians and philosophers a century from now might still find instructive and stimulating about the development of Yang–Mills theory.

scholarly journals TRANSVERSE WARD–TAKAHASHI RELATION FOR THE FERMION–BOSON VERTEX TO ONE-LOOP ORDER

2006 ◽  
Vol 21 (12) ◽  
pp. 2541-2551 ◽  
Author(s):  
HAN-XIN HE ◽  
F. C. KHANNA
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Loop Order ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Transverse Part ◽  
Feynman Rules ◽  
Covariant Gauge ◽  
The One ◽  
Massless Fermions

In this paper, the transverse Ward–Takahashi relation for the fermion–boson vertex in momentum space is derived in four-dimensional Abelian gauge theory. We show that, by a formal derivation, the transverse Ward–Takahashi relation to one-loop order is satisfied. We also calculate the transverse Ward–Takahashi relation to one-loop order in an arbitrary covariant gauge in the case of massless fermions and find that the result is exactly the same as we obtain in terms of the one-loop fermion–boson vertex calculated in perturbation theory by using Feynman rules. This provides an approach to determine the transverse part of the vertex.

scholarly journals Spontaneous parity breaking in three-dimensional non-Abelian gauge theory

1996 ◽  
Vol 54 (2) ◽  
pp. 1826-1830 ◽  
Author(s):  
Hsien-Chung Kao ◽  
Yeong-Chuan Kao ◽  
Yu-Li Lee
Keyword(s):  
Gauge Theory ◽  
Three Dimensional ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Parity Breaking

Regge behavior of spontaneously broken non-Abelian gauge theory

1978 ◽  
Vol 17 (2) ◽  
pp. 585-597 ◽  
Author(s):  
J. B. Bronzan ◽  
R. L. Sugar
Keyword(s):  
Gauge Theory ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Regge Behavior
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