One-loop temporal gauge effective potential in scalar quantum electrodynamics

1985 ◽  
Vol 165 (1-3) ◽  
pp. 197-201 ◽  
Author(s):  
Paolo Cea
Keyword(s):  
Effective Potential ◽  
Quantum Electrodynamics ◽  
Temporal Gauge ◽  
Scalar Quantum

scholarly journals THE EFFECTIVE POTENTIAL IN THE MASSIVE $\phi_4^4$ MODEL

2007 ◽  
Vol 22 (01) ◽  
pp. 1-9 ◽  
Author(s):  
F. BRANDT ◽  
F. CHISHTIE ◽  
D. G. C. MCKEON
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Effective Potential ◽  
Quantum Electrodynamics ◽  
Renormalization Group Equation ◽  
Massless Scalar ◽  
Group Equation ◽  
Scalar Quantum ◽  
Text Model

By applying the renormalization group equation, it has been shown that the effective potential V in the massless [Formula: see text] model and in massless scalar quantum electrodynamics is independent of the scalar field. This analysis is extended here to the massive [Formula: see text] model, showing that the effective potential is independent of ϕ here as well.

scholarly journals RADIATIVE PROPERTIES OF THE STUECKELBERG MECHANISM

2008 ◽  
Vol 23 (05) ◽  
pp. 741-748 ◽  
Author(s):  
T. J. MARSHALL ◽  
D. G. C. MCKEON
Keyword(s):  
Vector Field ◽  
Effective Potential ◽  
Gauge Invariance ◽  
Quantum Electrodynamics ◽  
Radiative Properties ◽  
Loop Order ◽  
Gauge Invariant ◽  
Scalar Quantum

We examine the mechanism for generating a mass for a U(1) vector field introduced by Stueckelberg. First, it is shown that renormalization of the vector mass is identical to the renormalization of the vector field on account of gauge invariance. We then consider how the vector mass affects the effective potential in scalar quantum electrodynamics at one-loop order. The possibility of extending this mechanism to couple, in a gauge invariant way, a charged vector field to the photon is discussed.

scholarly journals Scalar quantum electrodynamics via Duffin–Kemmer–Petiau gauge theory in the Heisenberg picture: Vacuum polarization

2018 ◽  
Vol 33 (10) ◽  
pp. 1850059 ◽  
Author(s):  
J. Beltran ◽  
N. T. Maia ◽  
B. M. Pimentel
Keyword(s):  
Gauge Theory ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
External Electromagnetic Field ◽  
Charged Scalar ◽  
Heisenberg Picture ◽  
Perturbative Method ◽  
Scalar Quantum ◽  
Charge Renormalization ◽  
Vacuum Polarization Tensor

Scalar Quantum Electrodynamics is investigated in the Heisenberg picture via the Duffin-Kemmer-Petiau gauge theory. On this framework, a perturbative method is used to compute the vacuum polarization tensor and its corresponding induced current for the case of a charged scalar field in the presence of an external electromagnetic field. Charge renormalization is brought into discussion for the interpretation of the results for the vacuum polarization.

scholarly journals Scalar Quantum Electrodynamics on the lattice as classical statistical mechanics

1977 ◽  
Vol 57 (3) ◽  
pp. 201-212 ◽  
Author(s):  
Gian Fabrizio De Angelis ◽  
Diego de Falco ◽  
Francesco Guerra
Keyword(s):  
Statistical Mechanics ◽  
Quantum Electrodynamics ◽  
Classical Statistical Mechanics ◽  
Scalar Quantum

Quantum electrodynamics in the temporal gauge

1979 ◽  
Vol 117 (2) ◽  
pp. 471-483 ◽  
Author(s):  
Michael Creutz
Keyword(s):  
Quantum Electrodynamics ◽  
Temporal Gauge

Rigorous quantum electrodynamics treatment of electron correlations in high-Z ions: Beyond the Breit and effective-potential approximations

2001 ◽  
Vol 81 (10) ◽  
pp. 1547-1555 ◽  
Author(s):  
V. A. Yerokhin ◽  
A. N. Artemyev ◽  
V. M. Shabaev ◽  
M. M. Sysak ◽  
O. M. Zherebtsov ◽  
...  
Keyword(s):  
Effective Potential ◽  
Quantum Electrodynamics ◽  
Electron Correlations

scholarly journals THE ANAPOLE MOMENT IN SCALAR QUANTUM ELECTRODYNAMICS

2010 ◽  
Vol 25 (37) ◽  
pp. 3145-3150 ◽  
Author(s):  
A. BASHIR ◽  
Y. CONCHA-SÁNCHEZ ◽  
M. E. TEJEDA-YEOMANS ◽  
J. J. TOSCANO
Keyword(s):  
Quantum Electrodynamics ◽  
Scalar Particle ◽  
Charged Scalar ◽  
Current Conservation ◽  
Anapole Moment ◽  
Effective Lagrangian ◽  
Physical Observable ◽  
Scalar Quantum ◽  
Charged Scalar Particle ◽  
Shell Particles

The anapole moment of a massless charged scalar particle is studied in a model-independent fashion, using the effective Lagrangian technique, as well as radiatively within the context of scalar quantum electrodynamics (SQED). It is shown that this gauge structure is characterized by a non-renormalizable interaction, which is radiatively generated at one-loop. It is found that the resulting anapole moment for off-shell particles, though free of ultraviolet divergences, is gauge dependent and thus it is not a physical observable. We also study some of its kinematical limits. In particular, it is shown that its value comes out to be zero when the photon is on-shell and the momenta squared of the incoming and outgoing scalars are equal. It is a stronger statement than it being zero for all particles being on-shell which is required by the current conservation.

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