Failure of perturbation theory in nonlinear field theories

1982 ◽  
Vol 34 (13) ◽  
pp. 400-402 ◽  
Author(s):  
P. B. Burt
Keyword(s):  
Perturbation Theory ◽  
Field Theories ◽  
Nonlinear Field

scholarly journals Modeling dark matter halos with nonlinear field theories

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
R. A. C. Correa ◽  
P. H. R. S. Moraes ◽  
A. de Souza Dutra ◽  
O. L. Dors ◽  
W. de Paula ◽  
...  
Keyword(s):  
Dark Matter ◽  
Field Theories ◽  
Dark Matter Halos ◽  
Nonlinear 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 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 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.

STOCHASTIC QUANTIZATION AND 1/N EXPANSION

1993 ◽  
Vol 08 (02) ◽  
pp. 115-128
Author(s):  
J.C. BRUNELLI ◽  
R.S. MENDES
Keyword(s):  
Perturbation Theory ◽  
Sigma Model ◽  
Functional Approach ◽  
Two Dimensions ◽  
Field Theories ◽  
Nonlinear Sigma Model ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Systematic Procedure

We study the 1/N expansion of field theories in the stochastic quantization method of Parisi and Wu using the supersymmetric functional approach. This formulation provides a systematic procedure to implement the 1/N expansion which resembles the ones used in the equilibrium. The 1/N perturbation theory for the nonlinear sigma-model in two dimensions is worked out as an example.

scholarly journals Quantization of Fields in Accordance with Modular Statistics

1975 ◽  
Vol 28 (2) ◽  
pp. 115 ◽  
Author(s):  
HS Green
Keyword(s):  
Correspondence Principle ◽  
Quantum Statistics ◽  
Field Theories ◽  
Nonlinear Field ◽  
Dynamical State ◽  
Fermi Statistics ◽  
Integral Spin ◽  
New Statistics

A new generalization of quantum statistics is described, which is different from parastatistics, though it includes Fermi statistics and parafermi statistics of order two. It can be applied to the quantization of nonlinear field theories, without violating the correspondence principle. Like parastatistics, it allows the occupation of a given dynamical state by more than one particle of half-odd-integral spin. A special feature is that quark-like particles are naturally associated in modules, which have many of the characteristics of baryons and mesons. The group theoretical properties of the new statistics, and the implied classification of states, are briefly examined.

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