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Title: Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1294713
Grant/Contract Number:
FG02-00ER-41132; FG02-03ER41260; SC0013036
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 8; Related Information: CHORUS Timestamp: 2017-04-05 15:19:38; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Cherman, Aleksey, Schäfer, Thomas, and Ünsal, Mithat. Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.081601.
Cherman, Aleksey, Schäfer, Thomas, & Ünsal, Mithat. Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD. United States. doi:10.1103/PhysRevLett.117.081601.
Cherman, Aleksey, Schäfer, Thomas, and Ünsal, Mithat. 2016. "Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD". United States. doi:10.1103/PhysRevLett.117.081601.
@article{osti_1294713,
title = {Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD},
author = {Cherman, Aleksey and Schäfer, Thomas and Ünsal, Mithat},
abstractNote = {},
doi = {10.1103/PhysRevLett.117.081601},
journal = {Physical Review Letters},
number = 8,
volume = 117,
place = {United States},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.117.081601

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

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  • Cited by 1
  • We analyze the consequences of the inclusion of the gluonic Polyakov loop in chiral quark models at low temperature in the light of chiral perturbation theory. Specifically, the low-energy effective chiral Lagrangian from two such quark models is computed. The tree level vacuum energy density, quark condensate, pion decay constant, and Gasser-Leutwyler coefficients are found to acquire a temperature dependence. This dependence is, however, exponentially small for temperatures below the mass gap in the full unquenched calculation. The introduction of the Polyakov loop and its quantum fluctuations is essential to achieve this result and also the correct large N{sub c}more » counting for the thermal corrections. We find that new coefficients are introduced at O(p{sup 4}) to account for the Lorentz breaking at finite temperature. As a byproduct, we obtain the effective Lagrangian which describes the coupling of the Polyakov loop to the Goldstone bosons.« less
  • We study the implications of duality symmetry on the analyticity properties of the partition function as it depends upon the compactification length. In order to obtain nontrivial compactifications, we give a physical prescription to get the Helmholtz free energy for any heterotic string, supersymmetric or not. After proving that the free energy is always invariant under the duality transformation [ital R][r arrow][alpha][prime]/(2[ital R]) and getting the zero-temperature theory whose partition function corresponds to the Helmholtz potential, we show that the self-dual point [ital R][sub 0]= [radical][alpha][prime]/2 is a generic singularity like the Hagedorn one. The main difference between these twomore » critical compactification radii is that the term producing the singularity at the self-dual point is finite for any [ital R][ne][ital R][sub 0]. We see that this behavior at [ital R][sub 0] actually implies a loss of degrees of freedom below that point.« less
  • We reformulate compactified strings in order to manifest its duality under the transformation {ital R}{r arrow}{alpha}{prime}/{ital R}. New degrees of freedom {ital y}{sup {ital i}} 's are introduced. The duality for the nonperturbative effects of orbifolds is also proved using the new formalism.