scholarly journals The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Freddy Cachazo ◽  
Alfredo Guevara ◽  
Matthew Heydeman ◽  
Sebastian Mizera ◽  
John H. Schwarz ◽  
...  
Keyword(s):  
Rational Maps ◽  
Yang Mills ◽  
Maximal Supergravity ◽  
S Matrix

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.

YANG-MILLS FIELD QUANTIZATION WITH NON-COMPACT GAUGE GROUP

1992 ◽  
Vol 07 (29) ◽  
pp. 2747-2752 ◽  
Author(s):  
A. E. MARGOLIN ◽  
V. I. STRAZHEV
Keyword(s):  
State Space ◽  
Gauge Group ◽  
Physical State ◽  
Indefinite Metric ◽  
Yang Mills ◽  
S Matrix ◽  
Field Quantization ◽  
Compact Gauge Group ◽  
Mills Field

Yang-Mills field quantization in BRST-formalism with non-compact semi-simple gauge group is performed. The S-matrix unitarity in the physical state space, having indefinite metric is determined.

ULTRAVIOLET INFINITIES AND COUNTERTERMS IN SUPERSYMMETRIC THEORIES

2012 ◽  
Vol 09 (06) ◽  
pp. 1261013 ◽  
Author(s):  
K. S. STELLE
Keyword(s):  
Yang Mills ◽  
Maximal Supergravity ◽  
Supersymmetric Theories

An overview is given of the extraordinary resistence of maximal supergravity and maximal super-Yang–Mills theories to the onset of ultraviolet divergences, in various spacetime dimensions. The ultraviolet cancellations found to date can be understood by some rather subtle applications of supersymmetric nonrenormalization theorems.

Yang-Mills instantons and the S-matrix

1979 ◽  
Vol 161 (1) ◽  
pp. 93-111 ◽  
Author(s):  
S.W. Hawking ◽  
C.N. Pope
Keyword(s):  
Yang Mills ◽  
S Matrix

scholarly journals Maximal supergravity and the quest for finiteness

2018 ◽  
Vol 27 (14) ◽  
pp. 1847024
Author(s):  
Sudarshan Ananth ◽  
Lars Brink ◽  
Sucheta Majumdar
Keyword(s):  
Yang Mills ◽  
Maximal Supergravity ◽  
Theory Of Gravity

We show that [Formula: see text] supergravity may possess an even larger symmetry than previously believed. Such an enhanced symmetry is needed to explain why this theory of gravity exhibits ultraviolet behavior reminiscent of the finite [Formula: see text] Yang–Mills theory. We describe a series of three steps that leads us to this result.

Dynamical derivation of the Yang–Mills S-matrix

1982 ◽  
Vol 60 (11) ◽  
pp. 1630-1640
Author(s):  
Robert E. Pugh
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Matrix Equation ◽  
Quantum Field ◽  
Yang Mills ◽  
Covariant Quantum ◽  
S Matrix ◽  
Feynman Rules

The Feynman rules for self-interacting Yang–Mills fields are derived within the framework of conventional covariant quantum field theory by explicitly calculating the contributions of the nonphysical field components to the violations of the S-matrix equation of continuity.

scholarly journals Perturbative quantum gauge invariance: where the ghosts come from

2005 ◽  
Vol 83 (2) ◽  
pp. 139-163
Author(s):  
Andreas Aste
Keyword(s):  
Gauge Transformation ◽  
Quantum Electrodynamics ◽  
Gauge Theories ◽  
Group Structure ◽  
Free Field ◽  
Main Tool ◽  
Yang Mills ◽  
Integral Methods ◽  
Interaction Terms ◽  
S Matrix

A condensed introduction to quantum gauge theories is given in the perturbative S-matrix framework, with path-integral methods used nowhere. This approach emphasizes the fact that it is not necessary to start from classical gauge theories that are then subject to quantization: it is possible, instead, to recover the classical group structure and coupling properties from purely quantum-mechanical principles. As a main tool, we use a free-field version of the Becchi–Rouet–Stora–Tyutin gauge transformation, which contains no interaction terms related to a coupling constant. This free gauge transformation can be formulated in an analogous way for quantum electrodynamics, Yang–Mills theories with massless or massive gauge bosons, and quantum gravity. PACS Nos.: 11.10.–z, 11.15.Bt, 12.20.Ds, 12.38.Bx

scholarly journals A PEDAGOGICAL INTRODUCTION TO THE SLAVNOV FORMULATION OF QUANTUM YANG–MILLS THEORY

2011 ◽  
Vol 08 (04) ◽  
pp. 821-834
Author(s):  
HOSSEIN GHORBANI ◽  
GIAMPIERO ESPOSITO
Keyword(s):  
Quantum Gravity ◽  
Gauge Invariance ◽  
Lorentz Invariance ◽  
Functional Integral ◽  
Coulomb Gauge ◽  
Gauge Transformations ◽  
Yang Mills ◽  
S Matrix ◽  
Ghost Field

Over the last few years, Slavnov has proposed a formulation of quantum Yang–Mills theory in the Coulomb gauge which preserves simultaneously manifest Lorentz invariance and gauge invariance of the ghost field Lagrangian. This paper presents in detail some of the necessary calculations, i.e. those dealing with the functional integral for the S-matrix and its invariance under shifted gauge transformations. The extension of this formalism to quantum gravity in the Prentki gauge deserves consideration.

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