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

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.

Electron Self-Energy and the Compton Amplitudes

1970 ◽  
Vol 1 (4) ◽  
pp. 1166-1171
Author(s):  
Paul M. Fishbane
Keyword(s):  
Self Energy

scholarly journals Moving Pearl Vortices in Thin-Film Superconductors

2021 ◽  
Vol 6 (1) ◽  
pp. 4
Author(s):  
Vladimir Kogan ◽  
Norio Nakagawa
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Time Dependent ◽  
Superconducting Thin Film ◽  
Self Energy ◽  
London Equation ◽  
The Magnetic Field

The magnetic field hz of a moving Pearl vortex in a superconducting thin-film in (x,y) plane is studied with the help of the time-dependent London equation. It is found that for a vortex at the origin moving in +x direction, hz(x,y) is suppressed in front of the vortex, x>0, and enhanced behind (x<0). The distribution asymmetry is proportional to the velocity and to the conductivity of normal quasiparticles. The vortex self-energy and the interaction of two moving vortices are evaluated.

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