Phys. Rev. D 62, 025006 (2000) [5 pages]Modal expansions and nonperturbative quantum field theory in Minkowski spaceReceived 24 January 2000; published 21 June 2000 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 φ4 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.025006
DOI:
10.1103/PhysRevD.62.025006
PACS:
11.10.Kk, 12.38.Lg
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