Modal expansions and non-perturbative quantum field theory in Minkowski space

Details Modal expansions and non-perturbative quantum field theory in Minkowski space Modal expansions and non-perturbative quantum field theory in Minkowski space

1999-10-13

arxiv.org/abs/hep-th/9910103v3

Phys. Rev. D62 (2000) 025006

Physics

High Energy Physics

High Energy Physics - Theory

new material added, 12 pages, 6 figures

Scientific paper

10.1103/PhysRevD.62.025006

We introduce a spectral approach to non-perturbative field theory within the periodic field formalism. As an example we calculate the real and imaginary parts of the propagator in 1+1 dimensional phi^4 theory, identifying both one-particle and multi-particle contributions. We discuss the computational limits of existing diagonalization algorithms and suggest new quasi-sparse eigenvector methods to handle very large Fock spaces and higher dimensional field theories.

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