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Supersymmetric approximations to the 3D supersymmetric O(N) model
John F. Dawson, Bogdan Mihaila, Per Berglund +1
We develop several non-perturbative approximations for studying the dynamics of a supersymmetric O(N) model which preserve supersymmetry. We study the phase structure of the vacuum…
Non-Perturbative Gluon pair production from a Constant Chromo-Electric Field via the Schwinger Mechanism in Arbitrary Gauge
Fred Cooper, Gouranga C. Nayak
We study the non-perturbative production of gluon pairs from a constant SU(3) chromo-electric background field via the Schwinger mechanism. We fix the covariant background gauge wi…
Exact Elliptic Compactons in Generalized Korteweg-DeVries Equations
Fred Cooper, Avinash Khare, Avadh Saxena
We derive a general theorem relating the energy, momentum and velocity of any solitary wave solution of the generalized KdV equation which enables us to relate the amplitude, width…
Exact solitary wave solutions for a discrete field theory in 1+1 dimensions
Fred Cooper, Avinash Khare, Bogdan Mihaila +1
We have found exact, periodic, time-dependent solitary wave solutions of a discrete field theory model. For finite lattices, depending on whether one is considering a repulsi…
Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model
Fred Cooper, John F. Dawson, Bogdan Mihaila
We derive the renormalized Schwinger-Dyson equations for the one- and two-point functions in the auxiliary field formulation of field theory to order 1/N in the 2PI-1/N expa…