scholarly journals Partial deconfinement at strong coupling on the lattice

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Hiromasa Watanabe ◽  
Georg Bergner ◽  
Norbert Bodendorfer ◽  
Shotaro Shiba Funai ◽  
Masanori Hanada ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Matrix Models ◽  
Gauge Group ◽  
Strong Coupling ◽  
Direct Evidence ◽  
Lattice Monte Carlo

Abstract We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the M × M submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

scholarly journals Lattice study of area law for double-winding Wilson loops

2018 ◽  
Vol 175 ◽  
pp. 12010
Author(s):  
Akihiro Shibata ◽  
Seikou Kato ◽  
Kei-Ichi Kondo ◽  
Ryutaro Matsudo
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Strong Coupling Expansion ◽  
Wilson Loops ◽  
Yang Mills ◽  
Lattice Monte Carlo ◽  
Area Law

We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various values of the number of color N. By using the strong coupling expansion, we evaluate the double-winding Wilson loop average in the lattice SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop average by lattice Monte Carlo simulations for SU(2) and SU(3). We further discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the higher representations.

Off‐lattice Monte Carlo simulations of polymer melts confined between two plates

1988 ◽  
Vol 89 (8) ◽  
pp. 5206-5215 ◽  
Author(s):  
Sanat K. Kumar ◽  
Michele Vacatello ◽  
Do Y. Yoon
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Polymer Melts ◽  
Lattice Monte Carlo

Lattice Monte Carlo Simulations of Chain Conformations in Polymer Nanocomposites

2005 ◽  
Vol 38 (10) ◽  
pp. 4495-4500 ◽  
Author(s):  
Murat S. Ozmusul ◽  
Catalin R. Picu ◽  
S. S. Sternstein ◽  
Sanat K. Kumar
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Polymer Nanocomposites ◽  
Lattice Monte Carlo ◽  
Chain Conformations

Lattice Monte Carlo Simulations of the Gyroid Phase in Monodisperse and Bidisperse Block Copolymer Systems

2005 ◽  
Vol 38 (20) ◽  
pp. 8522-8531 ◽  
Author(s):  
Francisco J. Martínez-Veracoechea ◽  
Fernando A. Escobedo
Keyword(s):  
Monte Carlo ◽  
Block Copolymer ◽  
Monte Carlo Simulations ◽  
Lattice Monte Carlo
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