Green Functions, Determinants and Induced Actions in Gauge Theories

1980 ◽  
pp. 249-306 ◽  
Author(s):  
K. D. Rothe ◽  
B. Schroer
Keyword(s):  
Gauge Theories ◽  
Green Functions

NON-PERTURBAITVE GREEN FUNCTIONS IN QUANTUM GAUGE THEORIES

1991 ◽  
Vol 06 (10) ◽  
pp. 909-921 ◽  
Author(s):  
S.V. SHABANOV
Keyword(s):  
Configuration Space ◽  
Gauge Theories ◽  
Gauge Condition ◽  
Green Functions ◽  
Spatial Infinity ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Global Gauge

Non-perturbative Green functions for gauge invariant variables are considered. The Green functions are found to be modified as compared with the usual ones in a definite gauge because of a physical configuration space (PCS) reduction. In the Yang-Mills theory with fermions, this phenomenon follows from the Singer theorem about the absence of a global gauge condition for the fields tending to zero at spatial infinity.

scholarly journals ON THE RENORMALIZABILITY OF THEORIES WITH GAUGE ANOMALIES

2000 ◽  
Vol 15 (29) ◽  
pp. 4603-4622 ◽  
Author(s):  
RODOLFO CASANA ◽  
SEBASTIÃO A. DIAS
Keyword(s):  
Gauge Invariance ◽  
Gauge Theories ◽  
Tree Level ◽  
Green Functions ◽  
Photon Propagator ◽  
Loop Level ◽  
Loop Expansion ◽  
Gauge Anomalies

We consider the detailed renormalization of two (1+1)-dimensional gauge theories which are quantized without preserving gauge invariance: the chiral and the "anomalous" Schwinger models. By regularizing the nonperturbative divergences that appear in fermionic Green functions of both models, we show that the "tree level" photon propagator is ill defined, thus forcing one to use the complete photon propagator in the loop expansion of these functions. We perform the renormalization of these divergences in both models to one-loop level, defining it in a consistent and semiperturbative sense that we propose in this paper.

scholarly journals QUANTUM PROPERTIES OF GENERAL GAUGE THEORIES WITH COMPOSITE AND EXTERNAL FIELDS

1999 ◽  
Vol 14 (24) ◽  
pp. 3847-3869 ◽  
Author(s):  
S. FALKENBERG ◽  
B. GEYER ◽  
P. MOSHIN
Keyword(s):  
Gauge Theories ◽  
Green Functions ◽  
External Fields ◽  
Ward Identities ◽  
Gauge Dependence ◽  
Quantum Properties ◽  
General Gauge

The generating functionals of Green functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge dependence is investigated.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

Path integral for gauge theories with fermions

1980 ◽  
Vol 21 (10) ◽  
pp. 2848-2858 ◽  
Author(s):  
Kazuo Fujikawa
Keyword(s):  
Path Integral ◽  
Gauge Theories

scholarly journals Cwebs beyond three loops in multiparton amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi
Keyword(s):  
Gauge Theories ◽  
Anomalous Dimension ◽  
Wilson Line ◽  
Building Blocks ◽  
Feynman Diagrams ◽  
Loop Order ◽  
Abelian Gauge ◽  
Sum Rule ◽  
Combinatorial Properties ◽  
Low Dimensional

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

scholarly journals Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Heinrich-Gregor Zirnstein ◽  
Gil Refael ◽  
Bernd Rosenow
Keyword(s):  
Green Functions ◽  
Boundary Correspondence
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