RENORMALIZATION OF STOCHASTICALLY QUANTIZED FIELD THEORIES

1988 ◽  
Vol 03 (01) ◽  
pp. 163-185 ◽  
Author(s):  
S. CHATURVEDI ◽  
A.K. KAPOOR ◽  
V. SRINIVASAN
Keyword(s):  
Langevin Equation ◽  
Field Theories ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Coupling Constant ◽  
Operator Formalism ◽  
Four Dimensions ◽  
Quantized Field ◽  
The One ◽  
Renormalization Constants

We discuss the renormalizability of stochastically quantized ϕ4 theory in four dimensions using the operator formalism of the Langevin equation developed by Namiki and Yamanaka. The operator formalism casts the Parisi Wu stochastic quantization scheme into a five-dimensional field theory. The usefulness of this approach over the one based directly on the Langevin equation is brought out for discussion of renormalization. We propose a new regularization scheme for the stochastic diagrams and use it to compute the renormalization constants and counter terms for the ϕ4 theory to second order in the coupling constant.

scholarly journals A new approach to anomalous axial vector field theory

2021 ◽  
pp. 2150104
Author(s):  
A. K. Kapoor
Keyword(s):  
Field Theory ◽  
Axial Vector ◽  
Ultra Violet ◽  
Realistic Model ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Gauge Model ◽  
Operator Formalism ◽  
New Approach ◽  
Vector Gauge

In an earlier paper, it has been shown that the ultra violet divergence structure of anomalous [Formula: see text] axial vector gauge model in the stochastic quantization scheme is different from that in the conventional quantum field theory. Also, it has been shown that the model is expected to be renormalizable. Based on the operator formalism of the stochastic quantization, a new approach to anomalous [Formula: see text] axial vector gauge model is proposed. The operator formalism provides a convenient framework for analysis of ultra violet divergences, but the computations in a realistic model become complicated. In this paper a new approach to do computations in the model is formulated directly in four dimensions. The suggestions put forward here will lead to simplification in the study of applications of the axial vector gauge theory, as well as those of other similar models.

scholarly journals NONCOMMUTATIVE THERMOFIELD DYNAMICS

2010 ◽  
Vol 25 (16) ◽  
pp. 3209-3220 ◽  
Author(s):  
MARCELO L. COSTA ◽  
AMILCAR R. QUEIROZ ◽  
ADEMIR E. SANTANA
Keyword(s):  
Field Theories ◽  
Effect Of Temperature ◽  
Integral Approach ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Point Function ◽  
Operator Formalism ◽  
Noncommutative Spaces ◽  
The One ◽  
Noncommutative Parameter

The real-time operator formalism for thermal quantum field theories, thermofield dynamics, is formulated in terms of a path-integral approach in noncommutative spaces. As an application, the two-point function for a thermal noncommutative λϕ4 theory is derived at the one-loop level. The effect of temperature and the noncommutative parameter, competing with one another, is analyzed.

scholarly journals Compactifying 5d superconformal field theories to 3d

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Matteo Sacchi ◽  
Orr Sela ◽  
Gabi Zafrir
Keyword(s):  
Riemann Surfaces ◽  
Recent Progress ◽  
Three Dimensions ◽  
Field Theories ◽  
Global Symmetry ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
The One ◽  
Conformal Manifolds ◽  
Chern Simons

Abstract Building on recent progress in the study of compactifications of 6d (1, 0) superconformal field theories (SCFTs) on Riemann surfaces to 4d$$ \mathcal{N} $$ N = 1 theories, we initiate a systematic study of compactifications of 5d$$ \mathcal{N} $$ N = 1 SCFTs on Riemann surfaces to 3d$$ \mathcal{N} $$ N = 2 theories. Specifically, we consider the compactification of the so-called rank 1 Seiberg $$ {E}_{N_f+1} $$ E N f + 1 SCFTs on tori and tubes with flux in their global symmetry, and put the resulting 3d theories to various consistency checks. These include matching the (usually enhanced) IR symmetry of the 3d theories with the one expected from the compactification, given by the commutant of the flux in the global symmetry of the corresponding 5d SCFT, and identifying the spectrum of operators and conformal manifolds predicted by the 5d picture. As the models we examine are in three dimensions, we encounter novel elements that are not present in compactifications to four dimensions, notably Chern-Simons terms and monopole superpotentials, that play an important role in our construction. The methods used in this paper can also be used for the compactification of any other 5d SCFT that has a deformation leading to a 5d gauge theory.

PARITY-VIOLATING ANOMALY FROM THE FOKKER-PLANCK EQUATION

1991 ◽  
Vol 06 (02) ◽  
pp. 123-128
Author(s):  
G. NARDULLI ◽  
L. TEDESCO
Keyword(s):  
Langevin Equation ◽  
Gauge Theories ◽  
Planck Equation ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Fokker Planck Equation ◽  
Fokker Planck

We compute parity-violating anomaly in gauge theories with odd number of dimensions using an approach based on the effective Fokker-Planck equation in the stochastic quantization scheme. We find results that agree with those obtained by the Langevin equation.

scholarly journals Motion of particles and gravitational lensing around the (2+1)-dimensional BTZ black hole in Gauss–Bonnet gravity

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Bakhtiyor Narzilloev ◽  
Sanjar Shaymatov ◽  
Ibrar Hussain ◽  
Ahmadjon Abdujabbarov ◽  
Bobomurat Ahmedov ◽  
...  
Keyword(s):  
Black Hole ◽  
Gravitational Lensing ◽  
Coupling Constant ◽  
Btz Black Hole ◽  
Bending Angle ◽  
Four Dimensions ◽  
Approach Distance ◽  
Test Particles ◽  
The One ◽  
Peak Value

AbstractWe study the motion of test particles and photons in the vicinity of the (2+1)-dimensional Gauss–Bonnet (GB) BTZ black hole. We find that the presence of the coupling constant serves as an attractive gravitational charge, shifting the innermost stable circular orbits outward with respect to the one for this theory in four dimensions. Further, we consider the gravitational lensing, to test the GB gravity in (2+1) dimensions and show that the presence of the GB parameter causes the bending angle to first increase with the increase in the inverse of the closest approach distance, $$u_0$$ u 0 , reaching a peak value for a specific $$u_0^*$$ u 0 ∗ , and then decreasing to zero. We also show that the increase in the value of the GB parameter decreases the bending angle, and the increase in the absolute value of the negative cosmological constant produces an opposite effect on this angle.

scholarly journals Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
I. L. Buchbinder ◽  
E. A. Ivanov ◽  
B. S. Merzlikin ◽  
K. V. Stepanyantz
Keyword(s):  
Effective Action ◽  
A Priori ◽  
Coupling Constant ◽  
Harmonic Superspace ◽  
Classical Action ◽  
Higher Derivative ◽  
Component Approach ◽  
Dimensionless Coupling ◽  
The One ◽  
Dimensionless Coupling Constant

Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, $$ \mathcal{N} $$ N = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and $$ \mathcal{N} $$ N = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

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.

AN IMPROVED ONE-LOOP ANALYSIS OF THE λϕ4 THEORY AT FINITE TEMPERATURE

1987 ◽  
Vol 02 (03) ◽  
pp. 713-728 ◽  
Author(s):  
SWEE-PING CHIA
Keyword(s):  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Zero Temperature ◽  
Coupling Constant ◽  
Loop Analysis ◽  
Temperature Dependent ◽  
Effective Coupling ◽  
Loop Approximation ◽  
The One ◽  
Dependent Mass

The λϕ4 theory with tachyonic mass is analyzed at T ≠ 0 using an improved one-loop approximation in which each of the bare propagators in the one-loop diagram is replaced by a dressed propagator to take into account the higher loop effects. The dressed propagator is characterized by a temperature-dependent mass which is determined by a self-consistent relation. Renomalization is found to be necessarily temperature-dependent. Real effective potential is obtained, giving rise to real effective mass and real coupling constant. For T < Tc, this is achieved by first shifting the ϕ field by its zero-temperature vacuum expectation value. The effective coupling constant is found to exhibit the striking behavior that it approaches a constant nonzero value as T → ∞.

Stereoelectronic Interactions and the One-Bond C–F Coupling Constant in Sevoflurane

2012 ◽  
Vol 116 (6) ◽  
pp. 1677-1682 ◽  
Author(s):  
Matheus P. Freitas ◽  
Michael Bühl ◽  
David O’Hagan ◽  
Rodrigo A. Cormanich ◽  
Cláudio F. Tormena
Keyword(s):  
Coupling Constant ◽  
The One ◽  
Stereoelectronic Interactions

scholarly journals Literatura policial y policía: reflexiones a partir de dos intervenciones críticas (José Pablo Feinmann y Carlos Gamerro)

2022 ◽  
Vol 9 (17) ◽  
pp. 197-225
Author(s):  
Hernán Maltz
Keyword(s):  
Detective Fiction ◽  
Social Order ◽  
Crime Fiction ◽  
The Political ◽  
Specific Interest ◽  
Four Dimensions ◽  
The Social ◽  
Novela Negra ◽  
The One ◽  
The Relationship

I propose a close reading on two critical interventions about crime fiction in Argentina: “Estado policial y novela negra argentina” (1991) by José Pablo Feinmann and “Para una reformulación del género policial argentino” (2006) by Carlos Gamerro. Beyond the time difference between the two, I observe aspects in common. Both texts elaborate a corpus of writers and fictions; propose an interpretative guide between the literary and the political-social series; maintain a specific interest in the relationship between crime fiction and police; and elaborate figures of enunciators who serve both as theorists of the genre and as writers of fiction. Among these four dimensions, the one that particularly interests me here is the third, since it allows me to investigate the link that is assumed between “detective fiction” and “police institution”. My conclusion is twofold: on the one hand, in both essays predominates a reductionist vision of the genre, since a kind of necessity is emphasized in the representation of the social order; on the other, its main objective seems to lie in intervening directly on the definitions of the detective fiction in Argentina (and, on this point, both texts acquire an undoubtedly prescriptive nuance).

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