scholarly journals Infrared divergence of the color-Coulomb self-energy in Coulomb gauge QCD

2006 ◽  
Author(s):  
Yoshiyuki Nakagawa
Keyword(s):  
Infrared Divergence ◽  
Coulomb Gauge ◽  
Self Energy

scholarly journals Behavior of the thermal gluon self-energy in the Coulomb gauge

2000 ◽  
Vol 62 (12) ◽  
Author(s):  
F. T. Brandt ◽  
Ashok Das ◽  
J. Frenkel
Keyword(s):  
Coulomb Gauge ◽  
Self Energy

Coulomb Gauge Quantization and Renormalization of the Chern–Simons Theory Coupled to Fermions

1997 ◽  
Vol 12 (16) ◽  
pp. 2889-2901 ◽  
Author(s):  
M. Fleck ◽  
A. Foerster ◽  
H. O. Girotti ◽  
M. Gomes ◽  
J. R. S. Nascimento ◽  
...  
Keyword(s):  
Coulomb Gauge ◽  
The Self ◽  
Simons Theory ◽  
Fermion Propagator ◽  
Lorentz Covariance ◽  
Self Energy ◽  
The One ◽  
Chern Simons ◽  
Physical Quantities ◽  
Chern Simons Theory

We study the quantization and the one-loop renormalization of the model resulting from the coupling of charged fermions with a Chern–Simons field, in the Coulomb gauge. A proof of the Lorentz covariance of the physical quantities follows after establishing the Dirac–Schwinger algebra for the Poincaré densities and the transformation properties of the fields under the Poincaré group. The Coulomb gauge one-loop renormalization program is, afterwards, implemented. The noncovariant form of the one-loop fermion propagator, Chern–Simons field propagator and the vertex are explicitly obtained. Finally, the electron anomalous magnetic moment is calculated stressing that, due to the peculiarities of the Coulomb gauge, the contributions from the self-energy diagrams turn out to be essential.

Renormalized Coulomb-gauge self-energy function

1987 ◽  
Vol 35 (4) ◽  
pp. 1525-1527 ◽  
Author(s):  
Jerome Malenfant
Keyword(s):  
Energy Function ◽  
Coulomb Gauge ◽  
Self Energy

scholarly journals Light-front QED, Stueckelberg field and infrared divergence

2019 ◽  
Vol 34 (18) ◽  
pp. 1950141 ◽  
Author(s):  
T. R. Govindarajan ◽  
Jai D. More ◽  
P. Ramadevi
Keyword(s):  
Quantum Electrodynamics ◽  
Infrared Divergence ◽  
Light Front ◽  
Vertex Correction ◽  
Leading Order ◽  
Massless Limit ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Self Energy

Stueckelberg mechanism introduces a scalar field, known as Stueckelberg field, so that gauge symmetry is preserved in the massive Abelian gauge theory. In this work, we show that the role of the Stueckelberg field is similar to the Kulish and Faddeev coherent state approach to handle infrared (IR) divergences. We expect that the light-front quantum electrodynamics (LFQED) with Stueckelberg field must be IR finite in the massless limit of the gauge boson. We have explicitly shown the cancellation of IR divergences in the relevant diagrams contributing to self-energy and vertex correction at leading order.

scholarly journals Stuckelberg SUSY QED and infrared problem

2020 ◽  
Vol 35 (37) ◽  
pp. 2050303
Author(s):  
Radhika Vinze ◽  
T. R. Govindarajan ◽  
Anuradha Misra ◽  
P. Ramadevi
Keyword(s):  
Quantum Electrodynamics ◽  
Infrared Divergence ◽  
Matter Field ◽  
Vertex Correction ◽  
Leading Order ◽  
Massless Limit ◽  
Gauge Invariant ◽  
Self Energy ◽  
Efficient Route ◽  
Infrared Divergences

We review gauge invariant [Formula: see text] supersymmetric massive U(1) gauge theory coupled to matter and Stuckelberg superfields. We focus on the leading order self-energy and vertex correction to the matter field in the massless limit of both the U(1) vector superfield and the Stuckelberg superfield. We explicitly verify that the theory is infrared divergence free in the massless limit. Hence the Stuckelberg mechanism appears to be the efficient route to handle infrared divergences seen in supersymmetric quantum electrodynamics. Since these additional particles have very small masses they can serve as dark matter candidates through “Ultralight particles” mechanism.

THE CLASSICAL RELATIVISTIC QUARK MODEL IN THE REST FRAME WIGNER – COVARIANT COULOMB GAUGE

1998 ◽  
Vol 13 (19) ◽  
pp. 3275-3346 ◽  
Author(s):  
DAVID ALBA ◽  
LUCA LUSANNA
Keyword(s):  
Quark Model ◽  
Rest Frame ◽  
Equations Of Motion ◽  
Coulomb Gauge ◽  
Asymptotic Freedom ◽  
Yang Mills ◽  
Color Changes ◽  
Self Energy ◽  
Spacelike Hypersurfaces ◽  
Color Field

The system of N scalar particles with Grassman-valued color changes plus the color SU(3) Yang–Mills field is reformulated on spacelike hypersurfaces. The Dirac observables are found and the physical invariant mass of the system in the Wigner-covariant rest frame instant form of dynamics (covariant Coulomb gauge) is given. From the reduced Hamilton equations we extract the second order equations of motion for both the reduced transverse color field and the particles. Then we study this relativistic scalar quark model, deduced from the classical QCD Lagrangian and with the color field present, in the N=2 (meson) case. A special form of the requirement of having only color singlets, suited for a field-independent quark model, produces a "pseudoclassical asymptotic freedom" and a regularization of the quark self-energy.

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

scholarly journals Master integrals for bipartite cuts of three-loop photon self energy

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
R. N. Lee ◽  
A. I. Onishchenko
Keyword(s):  
Spectral Density ◽  
High Energy ◽  
Elliptic Integrals ◽  
Iterated Integrals ◽  
Self Energy ◽  
Complete Elliptic Integrals ◽  
The One

Abstract We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the 4m cut (the cut of 4 massive lines), reduce to Goncharov’s polylogarithms. The master integrals for 4m cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for 4m cut.

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