BRST quantization of vector and axial-vector gauge theory

1993 ◽  
Vol 48 (10) ◽  
pp. 4916-4918
Author(s):  
Dae Sung Hwang ◽  
Chang-Yeong Lee
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Axial Vector ◽  
Vector Gauge

scholarly journals Stochastic quantization of axial vector gauge theories with fermions

2019 ◽  
Vol 34 (22) ◽  
pp. 1950176
Author(s):  
A. K. Kapoor
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Axial Vector ◽  
Quantization Scheme ◽  
Quantum Field ◽  
Stochastic Quantization ◽  
Massless Fermion ◽  
Fermion Masses ◽  
Vector Gauge

The stochastic quantization scheme proposed by Parisi and Wu in 1981 is known to have differences from conventional quantum field theory (CQFT) in higher orders. It has been suggested that some of these new features might give rise to a mechanism to explain tiny fermion masses as arising due to radiative corrections. Some features of U(1) axial vector gauge theory in Parisi Wu stochastic quantization are reported. These features are not absent if the theory is formulated in the conventional way. In particular we present arguments for renormalizability of the massive axial vector gauge theory coupled to a massless fermion.

scholarly journals TOPOLOGICALLY MASSIVE NON-ABELIAN THEORY: SUPERFIELD APPROACH

2011 ◽  
Vol 26 (25) ◽  
pp. 4419-4450 ◽  
Author(s):  
S. KRISHNA ◽  
A. SHUKLA ◽  
R. P. MALIK
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Brst Symmetry ◽  
Gauge Transformations ◽  
Abelian Theory ◽  
Gauge Symmetries ◽  
Vector Gauge ◽  
Symmetry Transformations ◽  
Brst Invariance ◽  
Lagrangian Densities

We apply the well-established techniques of geometrical superfield approach to Becchi–Rouet–Stora–Tyutin (BRST) formalism in the context of four (3+1)-dimensional (4D) dynamical non-Abelian 2-form gauge theory by exploiting its inherent "scalar" and "vector" gauge symmetry transformations and derive the corresponding off-shell nilpotent and absolutely anticommuting BRST and anti-BRST symmetry transformations. Our approach leads to the derivation of three (anti-)BRST invariant Curci–Ferrari (CF)-type restrictions that are found to be responsible for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations. We derive the coupled Lagrangian densities that respect the (anti-)BRST symmetry transformations corresponding to the "vector" gauge transformations. We also capture the (anti-)BRST invariance of the CF-type restrictions and coupled Lagrangian densities within the framework of our superfield approach. We obtain, furthermore, the off-shell nilpotent (anti-)BRST symmetry transformations when the (anti-)BRST symmetry transformations corresponding to the "scalar" and "vector" gauge symmetries are merged together. These off-shell nilpotent "merged" (anti-)BRST symmetry transformations are, however, found to be non-anticommuting in nature.

scholarly journals Massive vector gauge theory and comparison with Higgs—Connes—Lott

1999 ◽  
Vol 10 (2-3) ◽  
pp. 413-422
Author(s):  
Chang-Yeong Lee ◽  
Yuval Ne'eman
Keyword(s):  
Gauge Theory ◽  
Massive Vector ◽  
Vector Gauge

HAMILTONIAN BRST QUANTIZATION OF CHERN-SIMONS GAUGE THEORY

1990 ◽  
Vol 05 (21) ◽  
pp. 1663-1670 ◽  
Author(s):  
Y. IGARASHI ◽  
H. IMAI ◽  
S. KITAKADO ◽  
J. KUBO ◽  
H. SO
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Hamiltonian Formalism ◽  
Constrained Systems ◽  
Three Dimensions ◽  
Brst Transformation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Action ◽  
Chern Simons

We quantize non-abelian gauge theory with only a Chern-Simons term in three dimensions by using the generalized Hamiltonian formalism of Batalin and Fradkin for irreducible first-and second-class constrained systems, and derive a covariant action for the theory which is invariant under the off-shell nilpotent BRST transformation. Some aspects of the theory, finiteness and supersymmetry are discussed.

scholarly journals MONTE CARLO STUDY OF GLUEBALL MASSES IN THE HAMILTONIAN LIMIT OF SU(3) LATTICE GAUGE THEORY

2006 ◽  
Vol 21 (13n14) ◽  
pp. 2905-2936 ◽  
Author(s):  
MUSHTAQ LOAN ◽  
XIANG-QIAN LUO ◽  
ZHI-HUAN LUO
Keyword(s):  
Monte Carlo ◽  
Gauge Theory ◽  
Lattice Spacing ◽  
Lattice Gauge Theory ◽  
Axial Vector ◽  
Accurate Determination ◽  
Monte Carlo Study ◽  
Euclidean Case ◽  
Reliable Technique ◽  
Lattice Gauge

Using Standard Euclidean Monte Carlo techniques, we discuss in detail the extraction of the glueball masses of four-dimensional SU(3) lattice gauge theory in the Hamiltonian limit, where the temporal lattice spacing is zero. By taking into account the renormalization of both the anisotropy and the Euclidean coupling, we calculate the string tension and masses of the scalar, axial vector and tensor states using standard Wilson action on increasingly anisotropic lattices, and make an extrapolation to the Hamiltonian limit. The results are compared with estimates from various other Hamiltonian and Euclidean studies. We find that more accurate determination of the glueball masses and the mass ratios has been achieved in the Hamiltonian limit and the results are a significant improvement upon previous Hamiltonian estimates. The continuum predictions are then found by extrapolation of results obtained from smallest values of spatial lattice spacing. For the lightest scalar, tensor and axial vector states we obtain masses of m0++ = 1654±83 MeV , m2++ = 2272±115 MeV and m1+- = 2940±165 MeV , respectively. These are consistent with the estimates obtained in the previous studies in the Euclidean limit. The consistency is a clear evidence of universality between Euclidean and Hamiltonian formulations. From the accuracy of our estimates, we conclude that the standard Euclidean Monte Carlo method is a reliable technique for obtaining results in the Hamiltonian version of the theory, just as in Euclidean case.

SP(2)–BRST quantization of the antisymmetric tensor gauge theory

1990 ◽  
Vol 68 (4-5) ◽  
pp. 454-455
Author(s):  
Won-Sang Chung ◽  
Minho Chung ◽  
Jae-Kwan Kim
Keyword(s):  
Gauge Theory ◽  
Irreducible Representation ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Invariant Action ◽  
General Method

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory. The method is based on the single requirement that the space of fields carries an irreducible representation of the SP(2)–BRST algebra.

scholarly journals Axial-vector anomaly in lattice gauge theory

1981 ◽  
Vol 23 (10) ◽  
pp. 2384-2387 ◽  
Author(s):  
Werner Kerler
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Axial Vector ◽  
Lattice Gauge
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