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Schwinger Mechanism for Fermion Pair Production in the Presence of Arbitrary Time Dependent Background Electric Field
Fred Cooper, Gouranga C. Nayak
We study the Schwinger mechanism for the pair production of fermions in the presence of an arbitrary time-dependent background electric field E(t) by directly evaluating the path i…
Schwinger Mechanism in the Presence of Arbitrary Time Dependent Background Electric Field
Fred Cooper, Gouranga C. Nayak
We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by…
Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals
Fred Cooper, Gouranga C. Nayak
We consider expressions of the form of an exponential of the sum of two non-commuting operators of a single variable inside a path integration. We show that it is possible to shift…
An O(N) symmetric extension of the Sine-Gordon Equation
Fred Cooper, Pasquale Sodano, Andrea Trombettoni +1
We discuss an O(N) exension of the Sine-Gordon (S-G)equation which allows us to perform an expansion around the leading order in large-N result using Path-Integral methods. In lead…
Time evolution of the chiral phase transition during a spherical expansion
Melissa A. Lampert, John F. Dawson, Fred Cooper
We examine the non-equilibrium time evolution of the hadronic plasma produced in a relativistic heavy ion collision, assuming a spherical expansion into the vacuum. We study the $O…
Nonequilibrium problems in quantum field theory and Schwinger's Closed Time Path formalism
Fred Cooper
We review the closed time path formalism of Schwinger using a path integral approach. We apply this formalism to the study of pair production from strong external fields as well as…