Consistent treatment of the infrared singularities in Coulomb-gauge two-dimensional quantum chromodynamics

1981 ◽  
Vol 23 (2) ◽  
pp. 397-416
Author(s):  
R. L. Stuller
Keyword(s):  
Quantum Chromodynamics ◽  
Coulomb Gauge ◽  
Two Dimensional ◽  
Consistent Treatment ◽  
Infrared Singularities

An operatorially solved model of massless two-dimensional quantum chromodynamics

1978 ◽  
Vol 133 (3) ◽  
pp. 435-460 ◽  
Author(s):  
Probir Roy ◽  
Gautam Bhattacharya
Keyword(s):  
Quantum Chromodynamics ◽  
Two Dimensional

scholarly journals DIFFICULTIES OF AN INFRARED EXTENSION OF DIFFERENTIAL RENORMALIZATION

1994 ◽  
Vol 09 (07) ◽  
pp. 1067-1096 ◽  
Author(s):  
L. V. AVDEEV ◽  
D. I. KAZAKOV ◽  
I. N. KONDRASHUK
Keyword(s):  
Perturbation Theory ◽  
Fourier Transformation ◽  
Two Dimensions ◽  
Test Scheme ◽  
Two Dimensional ◽  
Differential Identities ◽  
Feynman Integrals ◽  
Differential Renormalization ◽  
Self Consistent ◽  
Infrared Singularities

We investigate the possibility of generalizing the differential renormalization of D. Z. Freedman, K. Johnson and J. I. Latorre in an invariant fashion to theories with infrared divergencies via an infrared [Formula: see text] operation. Two-dimensional σ models and the four-dimensional ɸ4-theory diagrams with exceptional momenta are used as examples, while dimensional renormalization serves as a test scheme for comparison. We write the basic differential identities of the method simultaneously in co-ordinate and momentum space, introducing two scales which remove ultraviolet and infrared singularities. A consistent set of Fourier-transformation formulae is derived. However, the values for tadpole-type Feynman integrals in higher orders of perturbation theory prove to be ambiguous, depending on the order of evaluation of the subgraphs. In two dimensions, even earlier than this ambiguity manifests itself, renormalization-group calculations based on the infrared extension of differential renormalization lead to incorrect results. We conclude that the procedure of extended differential renormalization does not perform the infrared [Formula: see text] operation in a self-consistent way.

Bosonization of fermion currents in two-dimensional quantum chromodynamics

1985 ◽  
Vol 153 (1-2) ◽  
pp. 97-100 ◽  
Author(s):  
R.E. Gamboa Saraví ◽  
C.M. Naón ◽  
F.A. Schaposnik
Keyword(s):  
Quantum Chromodynamics ◽  
Two Dimensional

Note on 't Hooft's Hamiltonian in two-dimensional quantum chromodynamics

1977 ◽  
Vol 15 (10) ◽  
pp. 2913-2914 ◽  
Author(s):  
Paul Federbush ◽  
Anthony Tromba
Keyword(s):  
Quantum Chromodynamics ◽  
Two Dimensional

scholarly journals Hamiltonian approach to QCD in Coulomb gauge: Perturbative treatment of the quark sector

2015 ◽  
Vol 30 (17) ◽  
pp. 1550100 ◽  
Author(s):  
Davide R. Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Quark Propagator ◽  
Functional Integral ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Equal Time ◽  
Quark Sector ◽  
Schrödinger Perturbation ◽  
Perturbative Treatment

We study the static gluon and quark propagator of the Hamiltonian approach to quantum chromodynamics in Coulomb gauge in one-loop Rayleigh–Schrödinger perturbation theory. We show that the results agree with the equal-time limit of the four-dimensional propagators evaluated in the functional integral (Lagrangian) approach.

Sign in / Sign up

Export Citation Format

Share Document