Quantum Field Theory of a Dissipative System

Abstract

Quantum dissipative scalar and fermionic fields are studied here from classical stochastic fields. These classical stochastic fields are the outcome of the relativistic generalization of Nelson's stochastic mechanics based on a new microlocal geometry. Results show that the dissipation is the external classical phenomena whereas quantum nature comes from within (microlocal structure).

W- and Z-boson interactions in supersymmetric models with explicit R-parity violation

“…Laboratory constraints on λ and λ ′ couplings have been put in [9] and [10,11]. The detectability of possible direct R-parity-violating signals through the λ and λ ′ couplings at the CERN Large Electron Positron (LEP) collider, planned to operate at 200-GeV centre of mass energies (LEP-2), has been discussed in [12].…”

“…Those that are induced by the ε i and w i parameters and give rise, e.g., to tree level off-diagonal Z-boson decays, and those that are proportional to the so-called λ and λ ′ couplings in the superpotential. The literature pertinent to constraints on the λ and λ ′ couplings is immanent [8,9,10,11,12]. Here, we will study effects of lepton-number and/or lepton-flavour violation on the ordinary known matter, which can be induced by W -and/or Z-boson interactions in an R-parity broken model.…”