scholarly journals Lattice Landau gauge photon propagator for 4D compact QED

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Lee C. Loveridge ◽  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Landau Gauge ◽  
Photon Propagator

scholarly journals Perturbative linearization of super-Yang-Mills theories in general gauges

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Hannes Malcha ◽  
Hermann Nicolai
Keyword(s):  
Large Class ◽  
Fourth Order ◽  
Landau Gauge ◽  
Third Order ◽  
Yang Mills ◽  
Free Theory ◽  
Non Linear ◽  
Functional Measure ◽  
Non Local ◽  
Jacobi Determinant

Abstract Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant of the transformation equals the product of the fermionic determinants obtained by integrating out the gauginos and ghosts at least on the gauge hypersurface. While this transformation has been known so far only for the Landau gauge and to third order in the Yang-Mills coupling, we here extend the construction to a large class of (possibly non-linear and non-local) gauges, and exhibit the conditions for all statements to remain valid off the gauge hypersurface. Finally, we present explicit results to second order in the axial gauge and to fourth order in the Landau gauge.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

scholarly journals The Non-Relativistic Many-Body Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction

2021 ◽  
Author(s):  
Ladislaus Alexander Bányai
Keyword(s):  
Solid State ◽  
Analogous Result ◽  
Charged Particles ◽  
Coulomb Gauge ◽  
Quantum Mechanical ◽  
Photon Propagator ◽  
Coulomb Interactions ◽  
Many Body ◽  
Transverse Current ◽  
Current Interaction

AbstractWe extend the standard solid-state quantum mechanical Hamiltonian containing only Coulomb interactions between the charged particles by inclusion of the (transverse) current-current diamagnetic interaction starting from the non-relativistic QED restricted to the states without photons and neglecting the retardation in the photon propagator. This derivation is supplemented with a derivation of an analogous result along the non-rigorous old classical Darwin-Landau-Lifshitz argumentation within the physical Coulomb gauge.

Conditions for invariance of molecular magnetic properties in Landau gauge transformations

1995 ◽  
Vol 103 (5) ◽  
pp. 1852-1859 ◽  
Author(s):  
P. Lazzeretti ◽  
M. Malagoli ◽  
R. Zanasi ◽  
M. C. Caputo ◽  
M. B. Ferraro
Keyword(s):  
Magnetic Properties ◽  
Landau Gauge ◽  
Gauge Transformations

scholarly journals INFRARED DIVERGENCE IN QED3 AT FINITE TEMPERATURE

1999 ◽  
Vol 14 (18) ◽  
pp. 2921-2947 ◽  
Author(s):  
DOMINIC LEE ◽  
GEORGIOS METIKAS
Keyword(s):  
Finite Temperature ◽  
Statistical Physics ◽  
Order Term ◽  
Dyson Equation ◽  
Infrared Divergence ◽  
Fermion Mass ◽  
Photon Propagator ◽  
Transverse Part ◽  
Transverse Photon ◽  
Range Of Values

We consider various ways of treating the infrared divergence which appears in the dynamically generated fermion mass, when the transverse part of the photon propagator in N flavour QED 3 at finite temperature is included in the Matsubara formalism. This divergence is likely to be an artifact of taking into account only the leading order term in the [Formula: see text] expansion when we calculate the photon propagator and is handled here phenomenologically by means of an infrared cutoff. Inserting both the longitudinal and the transverse part of the photon propagator in the Schwinger–Dyson equation, we find the dependence of the dynamically generated fermion mass on the temperature and the cutoff parameters. It turns out that consistency with certain statistical physics arguments imposes conditions on the cutoff parameters. For parameters in the allowed range of values we find that the ratio r=2* Mass (T=0)/critical temperature is approximately 6, consistent with previous calculations which neglected the transverse photon contribution.

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