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Title: Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm

Authors:
; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1310837
Grant/Contract Number:
FG02-93ER-40762
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 4; Related Information: CHORUS Timestamp: 2017-06-24 17:35:19; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo, Ridgway, Gregory W., and Warrington, Neill C.. Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.045017.
Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo, Ridgway, Gregory W., & Warrington, Neill C.. Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm. United States. doi:10.1103/PhysRevD.94.045017.
Alexandru, Andrei, Başar, Gökçe, Bedaque, Paulo, Ridgway, Gregory W., and Warrington, Neill C.. Mon . "Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm". United States. doi:10.1103/PhysRevD.94.045017.
@article{osti_1310837,
title = {Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm},
author = {Alexandru, Andrei and Başar, Gökçe and Bedaque, Paulo and Ridgway, Gregory W. and Warrington, Neill C.},
abstractNote = {},
doi = {10.1103/PhysRevD.94.045017},
journal = {Physical Review D},
number = 4,
volume = 94,
place = {United States},
year = {Mon Aug 29 00:00:00 EDT 2016},
month = {Mon Aug 29 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.94.045017

Citation Metrics:
Cited by: 5works
Citation information provided by
Web of Science

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  • Traditional Monte Carlo simulations of QCD in the presence of a baryon chemical potential are plagued by the complex phase problem and new numerical approaches are necessary for studying the phase diagram of the theory. In this work we consider a Z{sub 3} Polyakov loop model for the deconfining phase transition in QCD and discuss how a flux representation of the model in terms of dimer and monomer variable solves the complex action problem. We present results of numerical simulations using a worm algorithm for the specific heat and two-point correlation function of Polyakov loops. Evidences of a first ordermore » deconfinement phase transition are discussed.« less
  • We examine Bose-Einstein condensation as a form of symmetry breaking in the specific model of the Einstein static universe. We show that symmetry breaking never occurs in the sense that the chemical potential {mu} never reaches its critical value. This leads us to some statements about spaces of finite volume in general. In an appendix we clarify the relationship between the standard statistical mechanical approaches and the field theory method using {zeta} functions. {copyright} {ital 1996 The American Physical Society.}
  • We discuss the general features of spontaneous spatial symmetry breaking in trapped two-component alkali-metal{endash}atom Bose-Einstein condensates, and give qualitative guidelines for when it will occur. We further show that the Hartree-Fock equations admit symmetry-broken solutions for as few as two trapped atoms, discussing the particular system of one {sup 85}Rb atom and one {sup 87}Rb atom. It is also shown that the critical value of the interspecies scattering length for a mixture of Na and Rb in an isotropic trap depends strongly on the number of atoms in a manner not described by the standard Thomas-Fermi phase separation condition. {copyright}more » {ital 1999} {ital The American Physical Society}« less
  • The usual symmetry-breaking procedures for Bose condensed systems, namely, the Bogoliubov prescription, the symmetry-breaking term added to the Hamiltonian, and the canonical shift transformation are unified into a single formalism. By taking into account the condensate reservoir as a source and sink of excited particles, exact Ward identities are solved in the shielded-potential approximation. A relationship between the condensate density {ital n}{sub 0} and the superfluid density {ital n}{sub {ital S}} is obtained in closed form. It is shown that the Bogoliubov prescription yields {ital n}{sub 0}{congruent}{ital n}{sub {ital S}} and {ital nU}{sub 0}{much lt}{vert bar}{mu}{vert bar}, where {ital n}more » is the total density, {ital U}{sub 0} the interaction constant, and {mu} the chemical potential. On the other hand, for the canonical shift transformation one has {ital n}{sub 0}{much lt}{ital n}{sub {ital S}} and {ital nU}{sub 0}{much gt}{vert bar}{mu}{vert bar}. The latter, applied to superfluid {sup 4}He at saturated vapor pressure, gives excellent agreement between theory and experiment, without any adjustable parameter. The condensate density turns out to be strongly dependent on pressure as observed experimentally. The formalism provides in a natural way a consistent description of Bose systems in arbitrary {ital D}-dimensional space.« less
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