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We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been…

High Energy Physics - Theory · Physics 2020-01-16 Georg Bergner , Norbert Bodendorfer , Masanori Hanada , Enrico Rinaldi , Andreas Schafer , Pavlos Vranas

We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge theories on a class of compact spatial manifolds (including S^{d-1} \times time) undergo deconfinement phase transitions at temperatures proportional to the inverse…

High Energy Physics - Theory · Physics 2009-11-10 Ofer Aharony , Joseph Marsano , Shiraz Minwalla , Kyriakos Papadodimas , Mark Van Raamsdonk

We study the black hole - black string phase transitions of gravitational theories compactified on a circle using the holographic duality conjecture. The gauge theory duals of these theories are maximally supersymmetric and strongly coupled…

High Energy Physics - Theory · Physics 2010-09-16 Simon Catterall , Anosh Joseph , Toby Wiseman

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

N=4 Super Yang-Mills theory supplies us with a non-Abelian 4D gauge theory with a meaningful perturbation expansion, both in the UV and in the IR. We calculate the free energy on a 3-sphere and observe a deconfinement transition for large N…

High Energy Physics - Theory · Physics 2008-11-26 Bo Sundborg

We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times\mathbb{R}$. We argue that the index should undergo a large $N$ deconfinement phase transition, by computing an upper bound of its `temperature.' We compute this bound by…

High Energy Physics - Theory · Physics 2018-11-22 Sunjin Choi , Joonho Kim , Seok Kim , June Nahmgoong

We review and extend earlier work that uses the AdS/CFT correspondence to relate the black hole-black string transition of gravitational theories on a circle to a phase transition in maximally supersymmetric 1+1-dimensional SU(N) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Joe Marsano , Shiraz Minwalla , Toby Wiseman

In this paper we propose an effective description of the transition to deconfinement in the vicinity of a black hole. For this we adapt the approach that uses the dual quark condensate as order parameter for confinement, originally…

High Energy Physics - Theory · Physics 2015-06-16 Antonino Flachi

We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic…

High Energy Physics - Theory · Physics 2023-04-12 Vaibhav Gautam , Masanori Hanada , Jack Holden , Enrico Rinaldi

In the weak coupling limit of ${\rm SU}(N)$ Yang-Mills theory and the ${\rm O}(N)$ vector model, explicit state counting allows us to demonstrate the existence of a partially deconfined phase: $M$ of $N$ colors deconfine, and $\frac{M}{N}$…

High Energy Physics - Theory · Physics 2020-01-29 Masanori Hanada , Antal Jevicki , Cheng Peng , Nico Wintergerst

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) Yang-Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by…

High Energy Physics - Theory · Physics 2009-10-31 S. Kalyana Rama , B. Sathiapalan

An interesting case of string/black hole transition occurs in two-dimensional non-critical string theory dressed with a compact CFT. In these models the high energy densities of states of perturbative strings and black holes have the same…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Parnachev , David A. Sahakyan

We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this…

High Energy Physics - Theory · Physics 2013-05-30 Dusan Simic , Mithat Unsal

We consider QCD with two degenerate flavors of light quarks(up and down) at asymptotically high isospin chemical potential with zero baryon chemical potential and calculate for the first time a quantitative expression for the critical…

High Energy Physics - Phenomenology · Physics 2015-12-09 Thomas D. Cohen , Srimoyee Sen

A mechanism for the formation of primordial black holes is proposed. Here, heavy quarks of a confining gauge theory produced by de Sitter fluctuations are pushed apart by inflation and get confined after horizon re-entry. The large amount…

High Energy Physics - Phenomenology · Physics 2021-12-03 Gia Dvali , Florian Kuhnel , Michael Zantedeschi

We argue that the confined and deconfined phases in gauge theories are connected by a partially deconfined phase (i.e. SU(M) in SU(N), where M<N, is deconfined), which can be stable or unstable depending on the details of the theory. When…

High Energy Physics - Theory · Physics 2019-09-24 Masanori Hanada , Goro Ishiki , Hiromasa Watanabe

We discuss the formation of cosmic strings or macroscopic color flux tubes after the deconfinement/confinement phase transition in the pure Yang-Mills theory. Based on holographic dual descriptions, these cosmic strings can be interpreted…

High Energy Physics - Theory · Physics 2023-02-15 Masaki Yamada , Kazuya Yonekura

We consider large N zero-coupling d-dimensional U(N) gauge theories, with N_f matter fields in the fundamental representation on a compact spatial manifold S^{d-1} x time, with N_f/N finite. The Gauss' law constraint induces interactions…

High Energy Physics - Theory · Physics 2014-11-18 Howard J. Schnitzer

We study finite-temperature N=1 SU(2) super Yang-Mills theory, compactified on a spatial circle of size L with supersymmetric boundary conditions. In the semiclassical small-L regime, a deconfinement transition occurs at T_c <<1/L. The…

High Energy Physics - Theory · Physics 2015-06-17 Mohamed M. Anber , Scott Collier , Erich Poppitz , Seth Strimas-Mackey , Brett Teeple

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t = 6$ lattice and to study the string tensions…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate , Shigemi Ohta
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