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The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in…

High Energy Physics - Theory · Physics 2009-11-13 Timothy J. Hollowood , Joyce C. Myers

We calculate the phase diagrams at high temperature of SU(N) gauge theories with massive fermions by minimizing the one-loop effective potential. Considering fermions in the adjoint (Adj) representation at various N we observe a variety of…

High Energy Physics - Theory · Physics 2009-11-13 Joyce C. Myers , Michael C. Ogilvie

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations. We calculate the phase diagram on S^1 x…

High Energy Physics - Theory · Physics 2009-08-05 Joyce C. Myers , Michael C. Ogilvie

In this paper we consider the phase structure of ``orientifold'' gauge theories--obtained from unitary supersymmetric gauge theories by replacing adjoint Majorana fermions by Dirac fermions in the symmetric or anti-symmetric…

High Energy Physics - Theory · Physics 2010-10-27 Timothy J. Hollowood , Asad Naqvi

The phase diagrams at high temperature of SU(N) gauge theories with massive fermions are calculated by numerically minimizing the one-loop effective potential. We consider fermions in the Fundamental (F), Adjoint (Adj), Antisymmetric (AS),…

High Energy Physics - Lattice · Physics 2010-01-21 Joyce C. Myers , Michael C. Ogilvie

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial…

High Energy Physics - Theory · Physics 2024-05-01 Hiromasa Watanabe

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase…

High Energy Physics - Theory · Physics 2019-10-02 Riccardo Argurio , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

We analyze the large $N$ limit of adjoint QCD, an $SU(N)$ gauge theory with $N_f$ flavors of massless adjoint Majorana fermions, compactified on $S^3 \times S^1$. We focus on the weakly-coupled confining small-$S^3$ regime. If the fermions…

High Energy Physics - Theory · Physics 2015-09-07 Gokce Basar , Aleksey Cherman , David A. McGady

We explore the phase diagram for an $SU(N)$ gauge theory in $2 + 1$ dimensions with three families of fermions with different masses, all in the fundamental representation. The phase diagram is three dimensional and contains cuboid, planar…

High Energy Physics - Theory · Physics 2021-03-12 Abdullah Khalil , Radu Tatar

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

We have performed numerical simulations of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions. The fermions are discretized with the tadpole-improved clover action. Our simulations are done on lattices of length…

High Energy Physics - Lattice · Physics 2009-02-20 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

Large-N QCD with heavy adjoint fermions emulates pure Yang-Mills theory at long distances. We study this theory on a four- and three-torus, and analytically argue the existence of a large-small volume equivalence. For any finite mass,…

High Energy Physics - Theory · Physics 2010-12-24 Tatsuo Azeyanagi , Masanori Hanada , Mithat Unsal , Ran Yacoby

We use lattice simulations to study the single-site version of SU(N) lattice gauge theory with two flavors of Wilson-Dirac fermions in the adjoint representation, a theory whose large volume correspondent is expected to be conformal or…

High Energy Physics - Lattice · Physics 2013-05-30 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

Recent work on QCD-like theories on R^3 x S^1 has revealed that a confined phase can exist when the circumference L of S^1 is sufficiently small. Adjoint QCD and double-trace deformation theories with certain conditions are such theories,…

High Energy Physics - Theory · Physics 2011-09-14 Hiromichi Nishimura , Michael C. Ogilvie

We investigate QCD with adjoint Dirac fermions on $\mathbb{R}^3\times S^1$ with generic boundary conditions for fermions along $S^1$. By means of perturbation theory, semiclassical methods and a chiral effective model, we elucidate a rich…

High Energy Physics - Phenomenology · Physics 2015-02-19 Tatsuhiro Misumi , Takuya Kanazawa

We study the deconfinement phase transition in SU(N) gauge theories for $N$=2,3,4,6,8. The transition is first order for $N \ge 3$, with the strength increasing as $N$ increases. We extrapolate $T_c/\sqrt{\sigma}$ to the continuum limit for…

High Energy Physics - Lattice · Physics 2009-11-10 B. Lucini , M. Teper , U. Wenger

We study the phase diagrams of $\Nc= \infty$ vector-like, asymptotically free gauge theories as a function of volume, on $S^3\times S^1$. The theories of interest are the ones with fermions in two index representations [adjoint,…

High Energy Physics - Theory · Physics 2008-11-26 Mithat Unsal

We discuss the properties of non-abelian gauge theories formulated on manifolds with compactified dimensions and in the presence of fermionic fields coupled to magnetic backgrounds. We show that different phases may emerge, corresponding to…

High Energy Physics - Lattice · Physics 2017-05-03 Massimo D'Elia , Marco Mariti

We study the single site SU(N) lattice gauge theory with N_f=2 adjoint Wilson fermions for values of N up to 53. We determine the phase diagram of the theory as a function of the hopping parameter kappa and the inverse 't Hooft coupling b,…

High Energy Physics - Lattice · Physics 2011-11-07 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

A class of large N SU(N) gauge theories on a compact manifold S^3 X R (with possible inclusion of adjoint matter) is known to show first order deconfinement transition at the deconfinement temperature. This includes the familiar example of…

High Energy Physics - Theory · Physics 2008-11-26 Pallab Basu , Anindya Mukherjee
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