Forskning ved Københavns Universitet - Københavns Universitet

Forside

Temperature-reflection I: field theory, ensembles, and interactions

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Standard

Temperature-reflection I : field theory, ensembles, and interactions. / McGady, David A.

I: arXiv.org: Physics, 20.11.2017.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

McGady, DA 2017, 'Temperature-reflection I: field theory, ensembles, and interactions', arXiv.org: Physics.

APA

McGady, D. A. (Accepteret/In press). Temperature-reflection I: field theory, ensembles, and interactions. arXiv.org: Physics.

Vancouver

McGady DA. Temperature-reflection I: field theory, ensembles, and interactions. arXiv.org: Physics. 2017 nov 20.

Author

McGady, David A. / Temperature-reflection I : field theory, ensembles, and interactions. I: arXiv.org: Physics. 2017.

Bibtex

@article{cc7ca333b0364049a620fd4de9ea473c,
title = "Temperature-reflection I: field theory, ensembles, and interactions",
abstract = "In this paper, we revisit the claim that many partition functions are invariant under reflecting temperatures to negative values (T-reflection). The goal of this paper is to demarcate which partition functions should be invariant under T-reflection, and why. Our main claim is that finite-temperature path integrals for quantum field theories (QFTs) should be T-reflection invariant. Because multi-particle partition functions are equal to Euclidean path integrals for QFTs, we expect them to be T-reflection invariant. Single-particle partition functions though are often not invariant under T-reflection. Several exactly solvable systems are non-invariant under naive T-reflection, but are likely invariant under an extended T-reflection. We give example systems that are T-reflection invariant but are (1) non-unitary, (2) chiral, (3) interacting, (4) non-supersymmetric, or (5) non-conformal, and (6) argue that T-reflection is unrelated to time-reversal. Finally, we study the interplay between T-reflection and perturbation theory in the anharmonic harmonic oscillator in quantum mechanics and in Yang-Mills in four-dimensions. This is the first in a series of papers on temperature-reflections.",
keywords = "hep-th",
author = "McGady, {David A.}",
note = "50 pages, 1 figure, comments welcome!",
year = "2017",
month = "11",
day = "20",
language = "English",
journal = "arXiv.org: Physics",
publisher = "Cornell University Library",

}

RIS

TY - JOUR

T1 - Temperature-reflection I

T2 - field theory, ensembles, and interactions

AU - McGady, David A.

N1 - 50 pages, 1 figure, comments welcome!

PY - 2017/11/20

Y1 - 2017/11/20

N2 - In this paper, we revisit the claim that many partition functions are invariant under reflecting temperatures to negative values (T-reflection). The goal of this paper is to demarcate which partition functions should be invariant under T-reflection, and why. Our main claim is that finite-temperature path integrals for quantum field theories (QFTs) should be T-reflection invariant. Because multi-particle partition functions are equal to Euclidean path integrals for QFTs, we expect them to be T-reflection invariant. Single-particle partition functions though are often not invariant under T-reflection. Several exactly solvable systems are non-invariant under naive T-reflection, but are likely invariant under an extended T-reflection. We give example systems that are T-reflection invariant but are (1) non-unitary, (2) chiral, (3) interacting, (4) non-supersymmetric, or (5) non-conformal, and (6) argue that T-reflection is unrelated to time-reversal. Finally, we study the interplay between T-reflection and perturbation theory in the anharmonic harmonic oscillator in quantum mechanics and in Yang-Mills in four-dimensions. This is the first in a series of papers on temperature-reflections.

AB - In this paper, we revisit the claim that many partition functions are invariant under reflecting temperatures to negative values (T-reflection). The goal of this paper is to demarcate which partition functions should be invariant under T-reflection, and why. Our main claim is that finite-temperature path integrals for quantum field theories (QFTs) should be T-reflection invariant. Because multi-particle partition functions are equal to Euclidean path integrals for QFTs, we expect them to be T-reflection invariant. Single-particle partition functions though are often not invariant under T-reflection. Several exactly solvable systems are non-invariant under naive T-reflection, but are likely invariant under an extended T-reflection. We give example systems that are T-reflection invariant but are (1) non-unitary, (2) chiral, (3) interacting, (4) non-supersymmetric, or (5) non-conformal, and (6) argue that T-reflection is unrelated to time-reversal. Finally, we study the interplay between T-reflection and perturbation theory in the anharmonic harmonic oscillator in quantum mechanics and in Yang-Mills in four-dimensions. This is the first in a series of papers on temperature-reflections.

KW - hep-th

M3 - Journal article

JO - arXiv.org: Physics

JF - arXiv.org: Physics

ER -

ID: 185899969