The (2+1) dimensional non-linear electrodynamics, the so called Pagels–Tomboulis electrodynamics, with the Chern–Simons term is considered. We obtain ”generalized self–dual equation” and find the corresponding generalized massive Chern–Simons Lagrangian. Similar results for (2+1) massive dilaton electrodynamics have been obtained. 1 The Pagels–Tomboulis model Among many gauge theories the Pagel...

Front form dynamics is not a manifestly rotational invariant formalism. In particular, the requirement of an invariance under rotations around the transverse axes is difficult to fulfill since the corresponding operators are complicated and involve the interaction. All approximations in solving Quantum Field Theories using front form dynamics, as inevitable as they are, are destined to destroy ...

These lectures are based on work done in collaboration with many students, postdocs and colleagues, including particularly my friends and colleagues Bibliography 93 iii iv S.M. Girvin Circuit QED 1 Key papers students may wish to consult: • Blais et al., 'Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation,' Phys. Rev.

We derive the (Wilsonian) low energy effective Lagrangian for Quantum Electrodynamics under external constant magnetic field by integrating out all electrons except those in the lowest Landau level. We find the one-loop effective Lagrangian contains a marginal four-Fermi interaction with anomalous dimension, (ln 2) 2 2π e 4. Renormalization group analysis shows that the four-Fermi interaction w...

The critical nuclear charge Zcr and the critical distance Rcr in the system of two colliding heavy nuclei—they are defined as those at which the ground-state level of the electron spectrum descends to the boundary of the lower continuum, with the result that beyond them (that is, for Z > Zcr or R < Rcr) spontaneous positron production from a vacuum becomes possible—are important parameters in t...

Quantum electrodynamics for rho mesons is considered. It is shown that, at the tree level, the value of the gyromagnetic ratio of the rho+ is fixed to 2 in a self-consistent effective quantum field theory. Further, the mixing parameter of the photon and the neutral vector meson is equal to the ratio of electromagnetic and strong couplings, leading to the mass difference M(rho0)-M(rho+/-) approx...

Recently, a condition is derived for a nontrivial solution of the SchwingerDyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.

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Acausal features of quantum electrodynamic processes are discussed. While these processes are not present for the classical electrodynamic theory, in the quantum electrodynamic theory, acausal processes are well known to exist. For example, any Feynman diagram with a " loop " in space-time describes a " particle " which may move forward in time or backward in time or in space-like directions. T...