Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions
نویسنده
چکیده
It is known that the one-loop effective action of QED2 is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that this behavior persists for a general class of fields for at least one value of the fermion mass when the external field’s flux Φ satisfies 0 < |eΦ| < 2π. For QED4 with (anti-) self-dual fields the mass-shell renormalized one-loop effective action vanishes for at least one value of the fermion mass provided a plausible zero-mass limit exists. PACS numbers: 12.20.Ds, 11.10.Kk, 11.15Tk ∗Electronic mail: [email protected] 1
منابع مشابه
The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions
We calculate the change in the ultraviolet behaviour of the vortex operator due to the presence of dynamical Higgs field in both 2+1 dimensional QED and the 2+1 dimensional Georgi-Glashow model. We find that in the QED case the presence of the Higgs field leads at the one loop level to power like correction to the propagator of the vortex operator. On the other hand, in the Georgi-Glashow model...
متن کاملar X iv : h ep - t h / 97 10 17 0 v 1 2 1 O ct 1 99 7 Planar QED in Magnetic
We review the resolvent technique for computing the effective action in planar QED. For static magnetic backgrounds the effective action yields (minus) the effective energy of the fermions, while for electric backgrounds the imaginary part of the effective action gives (half) the probability of fermion-antifermion pair creation. For some special ‘solitonic’ background profiles, these effective ...
متن کامل0 v 2 3 M ar 2 00 4 Vacuum effects in electrodynamics and in Yang - Mills theory in ( 2 + 1 ) dimensions
Vacuum effects in (2+1)-dimensional quantum electrodynamics (QED) with the topological Chern-Simons term are considered. The photon polarization operator is studied and the decay rate for the electron-positron photoproduction γ → e+ e− is presented as a function of the photon energy and external field strength. The radiatively induced electron mass shift in an external magnetic field is investi...
متن کاملv 1 2 0 A pr 1 99 5 DFUPG 100 - 95 Confinement - Deconfinement Transition in 3 - Dimensional QED
We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement phase transition is the Polyakov loop operator whose average measures the free energy of a test charge that is not an integral multiple of the electron charg...
متن کاملar X iv : h ep - p h / 98 07 28 8 v 1 8 J ul 1 99 8 LAPTH - 687 / 98 On the Calculation of QED Amplitudes in a Constant Field
It is explained how first-quantized worldline path integrals can be used as an efficient alternative to Feynman diagrams in the calculation of QED amplitudes and effective actions. The examples include the one-loop photon splitting amplitude, the two-loop Euler-Heisenberg Lagrangian, and the one-loop axial vacuum polarization tensor in a general constant electromagnetic field. Talk given at the...
متن کامل