Equal-Time Commutators and Form Factors in Quantum Electrodynamics with Internal Symmetry

1969 ◽  
Vol 184 (5) ◽  
pp. 1577-1593 ◽  
Author(s):  
J. Katz ◽  
J. Langerholc
1972 ◽  
Vol 12 (2) ◽  
pp. 387-408 ◽  
Author(s):  
T. C. Yang
Keyword(s):  

1972 ◽  
Vol 44 (2) ◽  
pp. 541-557 ◽  
Author(s):  
G.V. Efimov ◽  
O.A. Mogilevsky

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
S. Rodini ◽  
A. Metz ◽  
B. Pasquini

Abstract Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory. To this aim we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence. We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators. Furthermore, we consider the same sum rules in a moving frame, where they become energy decompositions. Finally, we discuss some implications of our study on the mass sum rules for the nucleon.


2020 ◽  
Vol 28 (2) ◽  
pp. 19-28
Author(s):  
S. Bannikov ◽  
V. Skalozub

In (2+1)­-dimensional Maxwell­-Chern­-Simons quantum electrodynamics, we derive the structure of the exact polarization operator in the presence of medium characterized by a chemical potential μ. We show that the transverse part of the operator is the sum of four tensors. These tensors and unit one form an algebra with respect to the commutation operation. Green’s function of photons at zero temperature is derived on the basis of calculations of the one­loop form factors. The spectrum of modes is investigated. We find that the transverse and longitudinal modes exist in medium. This result differs from that of other authors. Dependence of the photon Debye mass on the form factors is investigated and a static electric potential is calculated.


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