Quantum field theories on a lattice: Variational methods for arbitrary coupling strengths and the ising model in a transverse magnetic field

Sidney D. Drell, Marvin Weinstein, Shimon Yankielowicz

Research output: Contribution to journalArticlepeer-review

Abstract

This paper continues our studies of quantum field theories on a lattice. We develop techniques for computing the low-lying spectrum of a lattice Hamiltonian using a variational approach, without recourse either to weak- or strong-coupling expansions. Our variational methods, which are relatively simple and straightforward, are applied to the Ising model in a transverse magnetic field as well as to a free spinless field theory. We demonstrate their accuracy in the vicinity of a phase transition for the Ising model by comparing with known exact solutions.

Original languageEnglish
Pages (from-to)1769-1781
Number of pages13
JournalPhysical review D
Volume16
Issue number6
DOIs
StatePublished - 1977
Externally publishedYes

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