Massless Renormalizable Field Theories and the Yang-Mills Field

1977 ◽  
pp. 225-239
Author(s):  
P. K. Mitter
Keyword(s):  
Field Theories ◽  
Yang Mills ◽  
Mills Field

Aharonov–Bohm types of phases in Maxwell and Yang–Mills field theories

2016 ◽  
Vol 31 (07) ◽  
pp. 1630004 ◽  
Author(s):  
Bruce H. J. McKellar
Keyword(s):  
Field Theories ◽  
Topological Phases ◽  
Yang Mills ◽  
Aharonov Bohm ◽  
Mills Field

I review the topological phases of the Aharonov–Bohm type associated with Maxwell and Yang–Mills fields.

Structure and renormalizability of massive Yang-Mills field theories

1978 ◽  
Vol 18 (6) ◽  
pp. 1969-1982 ◽  
Author(s):  
William A. Bardeen ◽  
Ken-ichi Shizuya
Keyword(s):  
Field Theories ◽  
Yang Mills ◽  
Mills Field

scholarly journals On a path integral representation of the Nekrasov instanton partition function and its Nekrasov–Shatashvili limit

2014 ◽  
Vol 92 (3) ◽  
pp. 267-270 ◽  
Author(s):  
Franco Ferrari ◽  
Marcin Piątek
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Path Integral ◽  
Equation Of Motion ◽  
Field Theories ◽  
Integral Expression ◽  
Path Integral Representation ◽  
Yang Mills ◽  
Fundamental Matter ◽  
Mills Field

In this work we study the Nekrasov–Shatashvili limit of the Nekrasov instanton partition function of Yang–Mills field theories with 𝒩 = 2 supersymmetry and gauge group SU(N). The theories are coupled with fundamental matter. A path integral expression of the full instanton partition function is derived. It is checked that in the Nekrasov–Shatashvili (thermodynamic) limit the action of the field theory obtained in this way reproduces exactly the equation of motion used in the saddle-point calculations.

scholarly journals Chiral correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francesco Galvagno ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Flat Space ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
The Matrix ◽  
Superspace Formalism ◽  
Model Approach

Abstract We consider a family of $$ \mathcal{N} $$ N = 2 superconformal field theories in four dimensions, defined as ℤq orbifolds of $$ \mathcal{N} $$ N = 4 Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $$ \mathcal{N} $$ N = 1 superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of N , exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $$ \mathcal{N} $$ N = 4 only at high orders in perturbation theory.

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