Symplectic Quantization I: Dynamics of Quantum Fluctuations in a Relativistic Field Theory

Relativistic Quantum Field Theory

Symplectic Field Theory and Quantum Backgrounds

We derive an L∞ structure associated to a polarized quantum background and characterize the obstructions to finding a versal solution to the quantum master equation (QME). We illustrate how symplectic field theory (SFT) is an example of a polarized quantum background and discuss the L∞ structure in the SFT context. The discussion may be summarized as follows: given a contact manifold M with con...

Quasiparticle excitations in relativistic quantum field theory

We analyze the particle-like excitations arising in relativistic field theories in states different than the vacuum. The basic properties characterizing the quasiparticle propagation are studied using two different complementary methods. First we introduce a frequency-based approach, wherein the quasiparticle properties are deduced from the spectral analysis of the twopoint propagators. Second,...

Unstable Systems in Relativistic Quantum Field Theory

We show how the state of an unstable particle can be defined in terms of stable asymptotic states. This general definition is used to discuss and to solve some old problems connected with the short-time and large-time behaviour of the non-decay amplitude. CERN-TH/97-246 September 1997 ⋆ Address from Sept 1st, 1997 to August 31st, 1998.

STRING FIELD THEORY AND QUANTUM GROUPS. I. QUANTUM GROUP STRUCTURES IN GEOMETRIC QUANTIZATION OF A SELF-INTERACTING STRING FIELD D.V.Juriev

The paper is devoted to a description of quantum group structures in the geometric quantization of a self-interacting string field, which appear under a transition from a tree-level of the theory to the account of loop effects in nonperturbative quantum field theory of strings. Theory of strings, which is the most perspective approach to the unification of Standard Model and its supergeneraliza...