Effective Lagrangian for scale-invariant quantum electrodynamics

1992 ◽  
Vol 45 (12) ◽  
pp. 4672-4680 ◽  
Author(s):  
William A. Bardeen ◽  
Sherwin T. Love
Keyword(s):  
Quantum Electrodynamics ◽  
Scale Invariant ◽  
Effective Lagrangian ◽  
Invariant Quantum

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.

TEST OF QUANTUM ELECTRODYNAMICS USING ULTRA-HIGH SENSITIVE INTERFEROMETERS

1991 ◽  
Vol 06 (40) ◽  
pp. 3671-3678 ◽  
Author(s):  
WEI-TOU NI ◽  
KIMIO TSUBONO ◽  
NORIKATSU MIO ◽  
KAZUMICHI NARIHARA ◽  
SHEN-CHE CHEN ◽  
...  
Keyword(s):  
Gravity Wave ◽  
Quantum Electrodynamics ◽  
Effective Index ◽  
Magnetic Effect ◽  
Modulation Scheme ◽  
Strong Fields ◽  
Wave Detection ◽  
Effective Lagrangian ◽  
Double Modulation

For strong fields, quantum electrodynamics tells us that the vacuum is refractive. This can be described by Euler-Heisenberg effective Lagrangian and for B ~ 12 T , the effective index deviates from one of the order of 10-21. Schemes to measure this effect are proposed using ultra-high sensitive interferometers of the type developed for gravity-wave detection. A double modulation scheme is promising in measuring the effect to 1%. For E ~ 5 × 107 V/m and B ~ 12 T , the mixed electric-magnetic effect is also within the reach of detectability.

scholarly journals RENORMALIZATION GROUP APPROACH TO EFFECTIVE HAMILTONIANS

1996 ◽  
Vol 11 (27) ◽  
pp. 2233-2240 ◽  
Author(s):  
T.J. FIELDS ◽  
J.P. VARY ◽  
K.S. GUPTA
Keyword(s):  
Renormalization Group ◽  
Renormalization Scheme ◽  
Quantum Mechanical ◽  
Scale Invariant ◽  
Group Approach ◽  
Renormalization Group Approach ◽  
Β Function ◽  
Quantum Mechanical Systems ◽  
Invariant Quantum ◽  
Effective Hamiltonians

We introduce a way of implementing renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized G-matrix and is independent of any specific kinematics. We show how to calculate the β-function within this context and exhibit our method using simple scale-invariant quantum mechanical systems.

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