scholarly journals Non-commutative field theories beyond perturbation theory

2003 ◽  
Vol 51 (78) ◽  
pp. 745-752 ◽  
Author(s):  
W. Bietenholz ◽  
F. Hofheinz ◽  
J. Nishimura
Keyword(s):  
Perturbation Theory ◽  
Field Theories ◽  
Commutative Field

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.

scholarly journals General properties of non-commutative field theories

2003 ◽  
Vol 668 (1-2) ◽  
pp. 293-321 ◽  
Author(s):  
Luis Álvarez-Gaumé ◽  
Miguel A. Vázquez-Mozo
Keyword(s):  
Field Theories ◽  
Commutative Field ◽  
General Properties

ASPECTS OF THERMAL NON COMMUTATIVE FIELD THEORIES

2002 ◽  
pp. 1168-1169
Author(s):  
G. ARCIONI ◽  
J.L.F. BARBÓN ◽  
JOAQUIM GOMIS ◽  
M.A. VÁZQUEZ-MOZO
Keyword(s):  
Field Theories ◽  
Commutative Field

scholarly journals PERTURBATION THEORY FOR ANTISYMMETRIC TENSOR FIELDS IN FOUR DIMENSIONS

1993 ◽  
Vol 08 (05) ◽  
pp. 929-945 ◽  
Author(s):  
N. MAGGIORE ◽  
S.P. SORELLA
Keyword(s):  
Perturbation Theory ◽  
Topological Field Theories ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Four Dimensions ◽  
Topological Field ◽  
Supersymmetric Structure

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows us to establish their perturbative finiteness.

scholarly journals The renormalization of non-commutative field theories in the limit of large non-commutativity

2003 ◽  
Vol 664 (1-2) ◽  
pp. 371-399 ◽  
Author(s):  
C. Becchi ◽  
S. Giusto ◽  
C. Imbimbo
Keyword(s):  
Field Theories ◽  
Commutative Field

scholarly journals Perturbative Peculiarities of Quantum Field Theories at High Temperatures

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 81
Author(s):  
Ingolf Bischer ◽  
Thierry Grandou ◽  
Ralf Hofmann
Keyword(s):  
Perturbation Theory ◽  
Thermal Equilibrium ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Zero Temperature ◽  
Thermal Perturbation ◽  
Loop Order ◽  
Damping Rate ◽  
Rate Calculation

Revisiting the fast fermion damping rate calculation in a thermalized QED and/or QCD plasma in thermal equilibrium at four-loop order, focus is put on a peculiar perturbative structure which has no equivalent at zero-temperature. Not surprisingly, and in agreement with previous C ☆ -algebraic analyses, this structure renders the use of thermal perturbation theory more than questionable.

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