scholarly journals S-matrix elements for Gauge theories with and without implemented constraints

1997 ◽  
Vol 27 (2) ◽  
pp. 305-313
Author(s):  
Kurt Haller
Keyword(s):  
Gauge Theories ◽  
Matrix Elements ◽  
S Matrix

scholarly journals SUPERFIELD FORMULATION OF THE LAGRANGIAN BRST QUANTIZATION METHOD

1995 ◽  
Vol 10 (35) ◽  
pp. 2687-2694 ◽  
Author(s):  
P.M. LAVROV ◽  
P.YU. MOSHIN ◽  
A.A. RESHETNYAK
Keyword(s):  
Gauge Theories ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Quantization Method ◽  
Ward Identities ◽  
S Matrix ◽  
General Gauge ◽  
Quantization Rules

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

scholarly journals On gauge independence for gauge models with soft breaking of BRST symmetry

2014 ◽  
Vol 29 (30) ◽  
pp. 1450184 ◽  
Author(s):  
Alexander Reshetnyak
Keyword(s):  
Gauge Theories ◽  
Brst Symmetry ◽  
Landau Gauge ◽  
Functional Integral ◽  
Yang Mills ◽  
Gauge Models ◽  
S Matrix ◽  
Gauge Fixing ◽  
Dependent Parameter ◽  
Quantum Treatment

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field–antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional integral. We demonstrate the applicability of this prescription within the approach of functional renormalization group to the Yang–Mills and gravity theories. The Gribov–Zwanziger action and the refined Gribov–Zwanziger action for a many-parameter family of gauges, including the Coulomb, axial and covariant gauges, are derived perturbatively on the basis of finite gauged BRST transformations starting from Landau gauge. It is proved that gauge theories with soft breaking of BRST symmetry can be made consistent if the transformed BRST-breaking terms satisfy the same soft BRST symmetry breaking condition in the resulting gauge as the untransformed ones in the initial gauge, and also without this requirement.

Functional Solution Scheme for Relativistic Strong Coupling Theor

1964 ◽  
Vol 19 (7-8) ◽  
pp. 828-834
Author(s):  
G. Heber ◽  
H. J. Kaiser
Keyword(s):  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Functional Integral ◽  
The Self ◽  
Matrix Elements ◽  
Point Function ◽  
Expectation Value ◽  
Lattice Space ◽  
S Matrix ◽  
Functional Solution

The vacuum expectation value of the S-matrix is represented, following HORI, as a functional integral and separated according to Svac=exp( — i W) ∫ D φ exp( —i ∫ dx Lw). Now, the functional integral involves only the part Lw of the Lagrangian without derivatives and can be easily calculated in lattice space. We propose a graphical scheme which formalizes the action of the operator W = f dx dy δ (x—y) (δ/δ(y))⬜x(δ/δ(x)) . The scheme is worked out in some detail for the calculation of the two-point-function of neutral BOSE fields with the self-interaction λ φM for even M. A method is proposed which under certain convergence assumptions should yield in a finite number of steps the lowest mass eigenvalues and the related matrix elements. The method exhibits characteristic differences between renormalizable and nonrenormalizable theories.

scholarly journals ELECTROWEAK THEORY WITHOUT HIGGS BOSONS

2000 ◽  
Vol 15 (10) ◽  
pp. 1497-1519
Author(s):  
ANGUS F. NICHOLSON ◽  
DALLAS C. KENNEDY
Keyword(s):  
Higgs Bosons ◽  
Gauge Parameter ◽  
Electroweak Theory ◽  
Matrix Elements ◽  
S Matrix ◽  
Novel Method ◽  
The Masses

A perturbative SU (2)L× U (1)Y electroweak theory containing W, Z, photon, ghost, lepton and quark fields, but no Higgs or other fields, gives masses to W, Z and the nonneutrino fermions by means of an unconventional choice for the unperturbed Lagrangian and a novel method of renormalization. The renormalization extends to all orders. The masses emerge on renormalization to one loop. To one loop the neutrinos are massless, the A↔Z transition drops out of the theory, the d quark is unstable and S matrix elements are independent of the gauge parameter ξ.

Dimensional reduction and background field quantization

1982 ◽  
Vol 60 (10) ◽  
pp. 1429-1430
Author(s):  
Gerry McKeon
Keyword(s):  
Dimensional Reduction ◽  
Background Field ◽  
Matrix Elements ◽  
S Matrix ◽  
Considerable Simplification ◽  
Field Quantization

It is pointed out that if one uses dimensional reduction to regularize integrals that arise when one evaluates S-matrix elements defined by background field quantization, a considerable simplification occurs.

scholarly journals The Gribov legacy, gauge theories and the physical S-matrix

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645014
Author(s):  
Alan R. White
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Crucial Role ◽  
Gauge Theories ◽  
Bound State ◽  
Abelian Gauge ◽  
Distant Future ◽  
S Matrix ◽  
Gribov Ambiguity

Reggeon unitarity and non-Abelian gauge field copies are focused on as two Gribov discoveries that, it is suggested, may ultimately be seen as the most significant and that could, in the far distant future, form the cornerstones of his legacy. The crucial role played by the Gribov ambiguity in the construction of gauge theory bound-state amplitudes via reggeon unitarity is described. It is suggested that the existence of a physical, unitary, S-Matrix in a gauge theory is a major requirement that could even determine the theory.

Sign in / Sign up

Export Citation Format

Share Document