Quantum Electrodynamics with Vanishing Bare Fermion Mass

1965 ◽  
Vol 6 (8) ◽  
pp. 1227-1230 ◽  
Author(s):  
S. K. Bose ◽  
S. N. Biswas
Keyword(s):  
Quantum Electrodynamics ◽  
Fermion Mass

COUPLED CLUSTER CALCULATIONS OF THE SCHWINGER MODEL IN HAMILTONIAN LATTICE GAUGE THEORY

2003 ◽  
Vol 17 (28) ◽  
pp. 5393-5396 ◽  
Author(s):  
REUBEN MCDONALD ◽  
NIELS R. WALET
Keyword(s):  
Gauge Theory ◽  
Ground State ◽  
Quantum Electrodynamics ◽  
Lattice Gauge Theory ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Fermion Mass ◽  
Schwinger Model ◽  
Hamiltonian Lattice ◽  
Spatial Lattice

The Schwinger Model, or quantum electrodynamics in 1+1 dimensions is a simple, yet non-trivial gauge theory. We investigate the Hamiltonian form of the Schwinger model defined of a spatial lattice with massive staggered fermions using the normal coupled cluster method (NCCM). We concentrate on the ground state of the model, studying the ground state energy as a function of coupling and fermion mass.

VACUUM POLARIZATION AND DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM ELECTRODYNAMICS

1990 ◽  
Vol 05 (02) ◽  
pp. 133-142 ◽  
Author(s):  
V.P. GUSYNIN
Keyword(s):  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Chiral Symmetry Breaking ◽  
Local Limit ◽  
Mass Function ◽  
Dyson Equation ◽  
Fermion Mass ◽  
Large Coupling ◽  
Large Coupling Constant

The Schwinger-Dyson equation for the fermion mass function taking into account the vacuum polarization effects is considered. It is shown that even in the “zero-charge” situation there exists, at rather large coupling constant (α > αc), a solution with spontaneously broken chiral symmetry. The existence of the local limit in the model concerned is discussed.

Quantum Electrodynamics with Zero Bare Fermion Mass

1964 ◽  
Vol 12 (11) ◽  
pp. 313-315 ◽  
Author(s):  
Th. A. J. Maris ◽  
Victoria E. Herscovitz ◽  
Gerhard Jacob
Keyword(s):  
Quantum Electrodynamics ◽  
Fermion Mass

scholarly journals Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
S. Metayer ◽  
S. Teber
Keyword(s):  
Quantum Electrodynamics ◽  
Anomalous Dimension ◽  
Dimensional Space ◽  
Quantitative Agreement ◽  
Fermion Mass ◽  
Coupling Constant ◽  
Mass Generation ◽  
Perfect Agreement ◽  
Dynamical Mass ◽  
Gauge Invariant

Abstract We consider reduced quantum electrodynamics ($$ {\mathrm{RQED}}_{d_{\gamma },{d}_e} $$ RQED d γ , d e ) a model describing fermions in a de-dimensional space-time and interacting via the exchange of massless bosons in dγ-dimensions (de ≤ dγ). We compute the two-loop mass anomalous dimension, γm, in general $$ {\mathrm{RQED}}_{4,{d}_e} $$ RQED 4 , d e with applications to RQED4,3 and QED4. We then proceed on studying dynamical (parity-even) fermion mass generation in $$ {\mathrm{RQED}}_{4,{d}_e} $$ RQED 4 , d e by constructing a fully gauge-invariant gap equation for $$ {\mathrm{RQED}}_{4,{d}_e} $$ RQED 4 , d e with γm as the only input. This equation allows for a straightforward analytic computation of the gauge-invariant critical coupling constant, αc, which is such that a dynamical mass is generated for αr> αc, where αr is the renormalized coupling constant, as well as the gauge-invariant critical number of fermion flavours, Nc, which is such that αc → ∞ and a dynamical mass is generated for N < Nc. For RQED4,3, our results are in perfect agreement with the more elaborate analysis based on the resolution of truncated Schwinger-Dyson equations at two-loop order. In the case of QED4, our analytical results (that use state of the art five-loop expression for γm) are in good quantitative agreement with those obtained from numerical approaches.

Energy, Information, and Superluminal Speed in Quantum Electrodynamics

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Perturbation Theory ◽  
Quantum Electrodynamics ◽  
Excited Atom ◽  
Standard Quantum ◽  
Energy Information

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.

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