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Title: Non-compact nonlinear sigma models

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1353492
Grant/Contract Number:
SC0009946; SC0010600
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 760; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-10-28 11:13:06; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

Citation Formats

de Rham, Claudia, Tolley, Andrew J., and Zhou, Shuang-Yong. Non-compact nonlinear sigma models. Netherlands: N. p., 2016. Web. doi:10.1016/j.physletb.2016.07.035.
de Rham, Claudia, Tolley, Andrew J., & Zhou, Shuang-Yong. Non-compact nonlinear sigma models. Netherlands. doi:10.1016/j.physletb.2016.07.035.
de Rham, Claudia, Tolley, Andrew J., and Zhou, Shuang-Yong. 2016. "Non-compact nonlinear sigma models". Netherlands. doi:10.1016/j.physletb.2016.07.035.
@article{osti_1353492,
title = {Non-compact nonlinear sigma models},
author = {de Rham, Claudia and Tolley, Andrew J. and Zhou, Shuang-Yong},
abstractNote = {},
doi = {10.1016/j.physletb.2016.07.035},
journal = {Physics Letters. Section B},
number = C,
volume = 760,
place = {Netherlands},
year = 2016,
month = 9
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2016.07.035

Citation Metrics:
Cited by: 3works
Citation information provided by
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  • We explore the phase structure of nonlinear sigma models with target spaces corresponding to compact quotients of hyperbolic space, focusing on the case of a hyperbolic genus-2 Riemann surface. The continuum theory of these models can be approximated by a lattice spin system which we simulate using Monte Carlo methods. The target space possesses interesting geometric and topological properties which are reflected in novel features of the sigma model. In particular, we observe a topological phase transition at a critical temperature, above which vortices proliferate, reminiscent of the Kosterlitz-Thouless phase transition in the O(2) model [1, 2]. Unlike in themore » O(2) case, there are many different types of vortices, suggesting a possible analogy to the Hagedorn treatment of statistical mechanics of a proliferating number of hadron species. Below the critical temperature the spins cluster around six special points in the target space known as Weierstrass points. In conclusion, the diversity of compact hyperbolic manifolds suggests that our model is only the simplest example of a broad class of statistical mechanical models whose main features can be understood essentially in geometric terms.« less
  • Exact separated atom nuclei and center of nuclear charge centered partial wave solutions for the Schroedinger equation are obtained for the 1s sigma, 2s sigma, 3s sigma, 2p sigma, 3d sigma, and 3p sigma states of HeH/sup 2 +/ as a function of the internuclear separation R and the number of partial waves used to represent the wave functions for the molecules. If the expansion center is chosen appropriately one-center techniques are in general very efficient for these Coulomb dominated interactions relative to molecules like H/sub 2//sup +/(1s sigma/sub g/) which have a large electron exchange contribution to their interactionmore » energy. In general the center of nuclear charge is not the most suitable expansion center for heteronuclear molecules for most values of R. 50 references.« less
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  • The authors examine the Hamiltonian formulation for a 1 + 1 dimensional nonlinear {sigma}-model where the action is given solely by a Wess-Zumino term. The theory corresponds to the Wess-Zumino-Witten model where the standard nonlinear chiral model action is absent. The authors find that the Poisson bracket algebra for the currents corresponds to a Kac-Moody algebra. The system, however, contains second class constraints which the authors eliminate via the construction of Dirac brackets. The Kac-Moody algebra is then not realized by the Dirac brackets. Instead, new (nonlocal) terms appear in the algebra of the conserved currents which appear to obstructmore » quantization.« less
  • We use the holomorphic formalism to investigate supersymmetry breaking of nonlinear {sigma} models. For the homogeneous or nonhomogeneous nonlinear model with nondoubled Goldstone superfields, supersymmetry is broken and spin shattering occurs, which is the consequence of the existence of nondoubled Goldstone superfields. In the case of full-doubled nonlinear models, supersymmetry breaking is model dependent if we do not consider the nonlinear model as an effective theory of a fundamental linear theory. Otherwise supersymmetry should be preserved and the only possibility is full doubling.