Renormalization of Spontaneously Broken Gauge Theories I: The Goldstone Theorem and Rξ Gauges

2019 ◽  
pp. 618-624
Keyword(s):  
Gauge Theories ◽  
Goldstone Theorem

scholarly journals GAUGE INVARIANCE AND THE GOLDSTONE THEOREM

2011 ◽  
Vol 26 (19) ◽  
pp. 1381-1392 ◽  
Author(s):  
GERALD S. GURALNIK
Keyword(s):  
Gauge Invariance ◽  
Gauge Theories ◽  
Elementary Particles ◽  
Max Planck ◽  
Goldstone Theorem ◽  
Zero Mass ◽  
Unified Theories

This paper was originally created for and printed in the "Proceedings of seminar on unified theories of elementary particles" held in Feldafing, Germany from July 5 to 16, 1965 under the auspices of the Max-Planck-Institute for Physics and Astrophysics in Munich. It details and expands upon the 1964 Guralnik, Hagen, and Kibble paper demonstrating that the Goldstone theorem does not require physical zero mass particles in gauge theories.

scholarly journals Where have all the Goldstone bosons gone?

2014 ◽  
Vol 29 (09) ◽  
pp. 1450046 ◽  
Author(s):  
G. S. Guralnik ◽  
C. R. Hagen
Keyword(s):  
Vector Meson ◽  
Gauge Theories ◽  
Broken Symmetry ◽  
Goldstone Theorem ◽  
Massive Vector ◽  
Longitudinal Modes ◽  
Goldstone Bosons ◽  
Physical Spectrum ◽  
Covariant Gauge

According to a commonly held view of spontaneously broken symmetry in gauge theories, troublesome Nambu–Goldstone bosons are effectively eliminated by turning into longitudinal modes of a massive vector meson. This note shows that, this is not in fact, a consistent view of the role of Nambu–Goldstone bosons in such theories. These particles necessarily appear as gauge excitations, whenever they are formulated in a manifestly covariant gauge. The radiation gauge provides therefore the dual advantage of circumventing the Goldstone theorem and making evident the disappearance of these particles from the physical spectrum.

Evading the Goldstone theorem

2015 ◽  
Vol 185 (10) ◽  
pp. 1059-1060 ◽  
Author(s):  
Peter W. Higgs
Keyword(s):  
Goldstone Theorem

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 Gauging 1-form center symmetries in simple SU(N) gauge theories

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Stefano Bolognesi ◽  
Kenichi Konishi ◽  
Andrea Luzio
Keyword(s):  
Gauge Theories
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