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Related papers: Large-N volume reduction of lattice QCD with adjoi…

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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

This work covers volume reduction in quantum field theories on a lattice at large $N$ (number of colors), as first described by Eguchi and Kawai in 1982. The volume reduction (or volume independence) means that the theory defined on an…

High Energy Physics - Lattice · Physics 2013-12-20 Mateusz Koren

We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai. We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac…

High Energy Physics - Lattice · Physics 2012-12-04 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

We use nonperturbative lattice techniques to study the volume-reduced "Eguchi-Kawai" version of four-dimensional large-N QCD with a single adjoint Dirac fermion. We explore the phase diagram of this single-site theory in the space of quark…

High Energy Physics - Lattice · Physics 2009-11-19 Barak Bringoltz , Stephen R. Sharpe

We study aspects of the large-N volume independence on R**3 x L**G, where L**G is a G-site lattice for Yang-Mills theory with adjoint Wilson-fermions. We find the critical number of lattice sites above which the center-symmetry analysis on…

High Energy Physics - Theory · Physics 2011-03-17 Erich Poppitz , Mithat Unsal

It has been proposed that four-dimensional QCD with fermions in the adjoint representation exhibits volume-independence in the large-N limit. If correct, this would mean that results for physical quantities could be obtained from the…

High Energy Physics - Lattice · Physics 2010-11-05 Barak Bringoltz , Stephen R. Sharpe

The space-time reduced model of large N QCD with two adjoint Wilson fermions is constructed by applying the symmetric twist boundary conditions with non-vanishing flux $k$. For large but finite $N=L^2$, the model should behave as the large…

High Energy Physics - Lattice · Physics 2013-08-09 Antonio González-Arroyo , Masanori Okawa

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

The twisted reduced model of large $N$ QCD with two adjoint Wilson fermions is studied numerically using the Hybrid Monte Carlo method. This is the one-site model, whose large $N$ limit (large volume limit) is expected to be conformal or…

High Energy Physics - Lattice · Physics 2013-04-02 Antonio González-Arroyo , Masanori Okawa

We study the one-loop potential of large-N QCD with adjoint Dirac fermions. Space-time is a discretization of R^3 x S^1 where the compact direction consists of a single lattice site. We use Wilson fermions with different values of the quark…

High Energy Physics - Lattice · Physics 2015-05-14 Barak Bringoltz

We present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop,…

High Energy Physics - Lattice · Physics 2024-04-08 Georg Bergner , Stefano Piemonte , Mithat Ünsal

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 take a first step towards the solution of QCD in 1+1 dimensions at nonzero density. We regularize the theory in the UV by using a lattice and in the IR by putting the theory in a box of spatial size L. After fixing to axial gauge we use…

High Energy Physics - Lattice · Physics 2010-04-30 Barak Bringoltz

We consider the leading-order expression at weak-coupling for a single-site large-N gauge theory coupled to adjoint fermions. We study the case of overlap and wilson fermions. We extend the theory to real values of the number of fermion…

High Energy Physics - Lattice · Physics 2013-06-26 Robert Lohmayer , Rajamani Narayanan

As computing resources are limited, choosing the parameters for a full Lattice QCD simulation always amounts to a compromise between the competing objectives of a lattice spacing as small, quarks as light, and a volume as large as possible.…

High Energy Physics - Lattice · Physics 2009-11-11 B. Orth , Th. Lippert , K. Schilling

The twisted reduced model of large $N$ QCD with two adjoint Wilson fermions is studied numerically using the Hybrid Monte Carlo method. This is the one-site model, whose large $N$ limit (large volume limit) is expected to be conformal or…

High Energy Physics - Lattice · Physics 2012-10-31 Antonio González-Arroyo , Masanori Okawa

Consequences of large $N$ volume independence are examined in conformal and confining gauge theories. In the large $N$ limit, gauge theories compactified on $\R^{d-k} \times (S^1)^k$ are independent of the $S^1$ radii, provided the theory…

High Energy Physics - Theory · Physics 2014-11-21 Mithat Unsal , Laurence G. Yaffe

The twisted space-time reduced model of large $N$ QCD with various flavours of adjoint Wilson fermions is constructed applying the symmetric twist boundary conditions with flux $k$. The models with one and two flavours show distinctive…

High Energy Physics - Lattice · Physics 2017-08-23 Antonio González-Arroyo , Masanori Okawa

We consider 2-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a $1/N$ expansion. We find that coupling to fermions nontrivially modifies the large $N$ saddle point…

High Energy Physics - Theory · Physics 2016-09-06 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

We study four dimensional large-N SU(N) Yang-Mills theory coupled to adjoint overlap fermions on a single site lattice. Lattice simulations along with perturbation theory show that the bare quark mass has to be taken to zero as one takes…

High Energy Physics - Lattice · Physics 2011-07-14 A. Hietanen , R. Narayanan
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