APS » PROLA » Phys. Rev. D » Volume 62 » Issue 2

Phys. Rev. D 62, 025006 (2000) [5 pages]

Modal expansions and nonperturbative quantum field theory in Minkowski space

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Nathan Salwen *
Harvard University, Cambridge, Massachusettes 02138

Dean Lee †
University of Massachusetts, Amherst, Massachusetts 01003

Received 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/abstract/PRD/v62/e025006
DOI: 10.1103/PhysRevD.62.025006
PACS: 11.10.Kk, 12.38.Lg

* Email address: salwen@physics.harvard.edu
† Email address: dlee@physics.umass.edu

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