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Zachos, C.; Celmaster, W.; Kovacs, E.; Sivers, D.

Argonne National Lab., IL (USA)

Argonne National Lab., IL (USA)

AbstractAbstract

[en] In the past few years there have been rapid advances in understanding quantum field theory by making discrete approximations of the path integral functional. This approach offers a systematic alternative to perturbation theory and opens up the possibility of first-principles calculation of new classes of observables. Computer simulations based on lattice regularization have already provided intriguing insights into the long-distance behavior of quantum chromodynamics. The objective of the workshop was to bring together researchers using lattice techniques for a discussion of current projects and problems. These proceedings aim to communicate the results to a broader segment of the research community. Separate entries were made in the data base for 26 of the 31 papers presented. Five papers were previously included in the data base

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Jun 1984; 342 p; Workshop on gauge theory on a lattice; Argonne, IL (USA); 5-7 Apr 1984; Available from NTIS, PC A15/MF A01; 1 as DE84014856

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[en] The functional integrals encountered in (Euclidean) QFT are dealt with in the following manner: 1. Continuum space-''time'' is replaced by a (simplest, hypercubic) lattice with spacing a > 0. 2. The infinite lattice so obtained is replaced by a finite one, e.g. of length L, with periodic boundary conditions, in all four directions. 3. The ordinary multiple but high-dimensional integrals so obtained (for simplicity, the authors discuss purely bosonic theory only) are evaluated approximately by Monte Carlo methods

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Eguchi, T.; Yamaguchi, Y; p. 17-28; ISBN 9971-950-74-X; ; 1983; p. 17-28; World Scientific Pub. Co; Philadelphia, PA (USA); Topical symposium on high energy physics; Tokyo (Japan); 7-11 Sep 1982

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Ginsparg, P.H.

Cornell Univ., Ithaca, NY (USA)

Cornell Univ., Ithaca, NY (USA)

AbstractAbstract

[en] Two aspects of symmetry behavior in quantum field theories are explored. The first is the nature of the phase transition which occurs in 4D gauge theories coupled to scalar and spinor fields at finite temperature. It is shown that the critical behavior can be isolated in an effective 3D theory of the zero frequency mode whose Lagrangian is then investigated by epsilon-expansion techniques. There follows an investigation of the problems encountered in trying to calculate patterns of dynamical symmetry breaking in lattice gauge theories. The importance of realizing the proper continuum anomaly is emphasized and some calculational procedures are discussed

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1981; 119 p; University Microfilms Order No. 81-29,646; Thesis (Ph. D.).

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Amaral, Marcia G. do

Proceedings of the 15. national meeting on particle physics and fields. Abstracts

Proceedings of the 15. national meeting on particle physics and fields. Abstracts

AbstractAbstract

[en] Short communication

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Sociedade Brasileira de Fisica, Sao Paulo, SP (Brazil); 85 p; 1994; p. 63; 15. national meeting on particle physics and fields; 15. encontro nacional de fisica de particulas e campos; Angra dos Reis, RJ (Brazil); 4-8 Oct 1994; Available from the Library of the Brazilian Nuclear Energy Commission, Rio de Janeiro

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AbstractAbstract

[en] The random lattice field theory is studied. The computation procedure with applications to the scalar and gauge field is given. Numerical results are reported and their physical significance is analyzed

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1984; 70 p; University Microfilms Order No. 85-06,025; Thesis (Ph. D.).

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[en] We compare the defects in different physical systems, exhibit their relevant properties for phase transitions, and point out the similarity of the lattice field theories by which their ensembles can be studied

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't Hooft, G; p. 373-401; 1984; p. 373-401; Plenum Press; New York, NY (USA); NATO advanced study institute on progress in gauge field theory; Cargese (France); 1-15 Sep 1983

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[en] We suggest an alternative method for extracting masses and g factors from lattice calculations. Our method takes account of more of the infrared and ultraviolet lattice effects. It leads to more reasonable results in simulations of QED on a lattice

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[en] Thermal and field perturbations away from the renormalization-group fixed point are considered in 2D conformal field theory. General expressions for the effective critical exponents ν, α and δ are obtained in terms of the central charge, third moment of energy and spin correlation, temperature and external field. Apparent spin dependence expressions for the effective critical exponents are given for a high-spin system with only one fixed point. These expression may be described as critical behavior and crossover phenomena for 2D systems away from the critical points. (orig.)

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[en] Elegant as it is, the proposal by Christ Friedberg and Lee of studying (Euclidean) quantum field theory on a random -as opposed to regular- lattice has not yet attracted a spectacular interest. This is most likely due to the fact that numerical simulations or analytical (for instance strong coupling) expansions seem much more difficult than in the regular lattice case. Spurious localization effects are also involved and not easy to master. These unhappy circumstances should not however hide the merits of a very fascinating subject which comes as close as possible to a cutoff but still translational and rotational invariant field theory fulfilling all reasonable criteria. On the other hand it looks like a first step towards promoting geometry to a dynamical coupled system. Indeed in the realm of lattice models the random one, corresponds to the use of arbitrary coordinate systems, even though the underlying geometry is kept euclidean, this being in principle not necessary. We present a review based on this work, as well as earlier contributions such as a classical article of Meijering, of the formulation of field theory or equivalently statistical mechanics on the standard Poissonian random lattice. Here and there we report what seem to be new results. In part II we discuss random geometry and reproduce various average of local quantities. The domain of correlations seems to be largely unexplored. In part III we recall the construction of Lagrangians and classical field equations. The natural framework is simplicial cohomology. This yields very natural (abelian) gauge invariant equations for arbitrary antisymetric tensor fields. Section IV discusses some elementary conjectures on the spectrum of the random Laplacian in conjunction with the question of localization. In the final section V this is illustrated on the simple but instructive one dimensional case

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't Hooft, G; p. 337-371; 1984; p. 337-371; Plenum Press; New York, NY (USA); NATO advanced study institute on progress in gauge field theory; Cargese (France); 1-15 Sep 1983

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AbstractAbstract

[en] Short communication

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Sociedade Brasileira de Fisica, Sao Paulo, SP (Brazil); 85 p; 1994; p. 49-50; 15. national meeting on particle physics and fields; 15. encontro nacional de fisica de particulas e campos; Angra dos Reis, RJ (Brazil); 4-8 Oct 1994; Available from the Library of the Brazilian Nuclear Energy Commission, Rio de Janeiro

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