Nonperturbative calculation of symmetry breaking in quantum field theory

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Bender, Carl M.; Milton, Kimball A.;
(1996)

A new version of the delta expansion is presented, which, unlike the conventional delta expansion, can be used to do nonperturbative calculations in a self-interacting scalar quantum field theory having broken symmetry. We calculate the expectation value of the scalar f... View more
  • References (11)
    11 references, page 1 of 2

    Z[0] J=0

    [1] C. M. Bender, K. A. Milton, S. S. Pinsky, and L. M. Simmons, Jr., J. Math. Phys. 30, 1447 (1989); C. M. Bender, S. Boettcher, and K. A. Milton, J. Math. Phys. 32, 3031 (1991); B. Abraham-Shrauner, C. M. Bender, and R. N. Zitter, J. Math. Phys. 33, 1335 (1992).

    [2] C. M. Bender, K. A. Milton, M. Moshe, S. S. Pinsky, and L. M. Simmons, Jr., Phys. Rev. Lett. 58, 2615 (1987); C. M. Bender, K. A. Milton, M. Moshe, S. S. Pinsky, and L. M. Simmons, Jr., Phys. Rev. D 37, 1472 (1988).

    [3] C. M. Bender and H. F. Jones, Phys. Rev. D 38, 2526 (1988); H. T. Cho, K. A. Milton, J. Cline, S. S. Pinsky, and L. M. Simmons, Jr., Nucl. Phys. B 329, 574 (1990).

    [4] C. M. Bender, K. A. Milton, S. S. Pinsky, and L. M. Simmons, Jr., Phys. Lett. B 205, 493 (1988); C. M. Bender and K. A. Milton, Phys. Rev. D 38, 1310 (1988).

    [5] C. M. Bender, F. Cooper, and K. A. Milton, Phys. Rev. D 40, 1354 (1989); C. M. Bender, S. Boettcher, and K. A. Milton, Phys. Rev. D 45, 639 (1992); C. M. Bender, F. Cooper, K. Milton, M. Moshe, S. S. Pinsky, and L. M. Simmons, Jr., Phys. Rev. D 45, 1248 (1992); C. M. Bender, K. A. Milton, and M. Moshe, Phys. Rev. D 45, 1261 (1992).

    [6] C. M. Bender, F. Cooper, and K. A. Milton, Phys. Rev. D 39, 3684 (1989); C. M. Bender, F. Cooper, G. Kilkup, P. Roy, and L. M. Simmons, Jr., J. Stat. Phys. 64, 395 (1991).

    [7] C. M. Bender and T. Rebhan, Phys. Rev. D 41, 3269 (1990).

    [9] Schwinger-Dyson equations, symmetry breaking, and choice of path integral contour have been studied by S. Garcia and G. S. Guralnik, Proceedings of Workshop on Quantum Infrared Physics, American University of Paris (Paris, France, 6-18 June 1994), World Scientific, p. 205; Z. Guralnik, to be published in the Proceedings of Orbis Scientiae 1996.

    [10] E. R. Caianello and G. Scarpetta, Nuovo Cimento 22A, 454 (1974); C. M. Bender and R. Z. Roskies, Phys. Rev. D 25, 427 (1982); C. M. Bender and F. Cooper, Phys. Rev. D 39, 2343 (1989).

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