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An elementary, pedagogical introduction to the large-N limit of QCD and to its phenomenological implications is presented, and a survey of lattice results in the 't Hooft limit is briefly discussed.

High Energy Physics - Theory · Physics 2014-03-05 Biagio Lucini , Marco Panero

Minimally doubled fermions have been proposed as a strictly local discretization of the QCD quark action, which also preserves chiral symmetry at finite cut-off. We study the renormalization and mixing properties of two particular…

High Energy Physics - Lattice · Physics 2011-01-27 Stefano Capitani , Michael Creutz , Johannes Weber , Hartmut Wittig

We study the strong coupling expansion of large $N$ QCD in various dimensions, reformulating the Kogut-Susskind Hamiltonian on a square lattice in terms of (constrained) one dimensional spin chain models. We study the integrability…

High Energy Physics - Theory · Physics 2026-03-06 David Berenstein , Hiroki Kawai

It has been known for some time that the entropy of hot QCD is well reproduced by weak coupling techniques. These do not identify with perturbation theory, known to have poor convergence properties, but involve resumming the physics of hard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jean-Paul Blaizot , Andreas Ipp , Anton Rebhan , Urko Reinosa

We determine the fine-tuning of the Yukawa couplings of supersymmetric QCD, discretized on a lattice. We use perturbation theory at one-loop level. The Modified Minimal Subtraction scheme ($\overline{{\rm MS}}$) is employed; by its…

High Energy Physics - Lattice · Physics 2023-11-01 Marios Costa , Herodotos Herodotou

We consider the particle spectrum and event shapes in large N gauge theories in different regimes of the short-distance 't Hooft coupling, lambda. The mesons in the small lambda limit should have a Regge spectrum in order to agree with…

High Energy Physics - Phenomenology · Physics 2009-05-29 Csaba Csaki , Matthew Reece , John Terning

We propose an experimentally accessible scheme to determine lower bounds on the quantum Fisher information (QFI), which ascertains multipartite entanglement or usefulness for quantum metrology. The scheme is based on comparing the…

Quantum Physics · Physics 2016-03-14 Florian Fröwis , Pavel Sekatski , Wolfgang Dür

We study the critical behavior of the q-state Potts model with random ferromagnetic couplings. Working with the cluster representation the partition sum of the model in the large-q limit is dominated by a single graph, the fractal…

Disordered Systems and Neural Networks · Physics 2009-11-07 Robert Juhasz , Heiko Rieger , Ferenc Igloi

We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times…

High Energy Physics - Theory · Physics 2024-03-26 Kenichi Konishi , Stefano Bolognesi , Andrea Luzio

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT$_4$ proposed by \"{O}.G\"{u}rdo\u{g}an and one of the authors as a double scaling limit of $\gamma$-deformed $\mathcal{N}=4$ SYM…

High Energy Physics - Theory · Physics 2019-07-24 Vladimir Kazakov , Enrico Olivucci , Michelangelo Preti

We discuss the dependence of observables on the chemical potential in 't Hooft's large-N QCD. To this end we use the worldline formalism to expand the fermionic determinant in powers of 1/N. We consider the hadronic as well as the…

High Energy Physics - Theory · Physics 2013-05-30 Adi Armoni , Agostino Patella

In this study, we determine the fine-tuning of parameters in $\mathcal{N} = 1$ Supersymmetric QCD, discretized on a Euclidean lattice. Our focus is on the renormalization of Yukawa (gluino-quark-squark interactions) and quartic (four-squark…

High Energy Physics - Lattice · Physics 2024-10-08 M. Costa , H. Herodotou , H. Panagopoulos

Suppose N is a phylogenetic network indicating a complicated relationship among individuals and taxa. Often of interest is a much simpler network, for example, a species tree T, that summarizes the most fundamental relationships. The…

Populations and Evolution · Quantitative Biology 2015-01-30 Stephen J. Willson

This thesis describes work done by me during my tenure as a Ph.D. student at the Centre for High Energy Physics, Indian Institute of Science, Bangalore. Chapter 1 is a brief introduction to QCD. In Chapter 2, we formulate QCD in the…

High Energy Physics - Lattice · Physics 2007-05-23 Raghunath Ratabole

We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The…

High Energy Physics - Theory · Physics 2022-12-08 Fei Gao , Masatoshi Yamada

We develop a picture of the QCD string as a chain of constituent gluons, bound by attractive nearest-neighbor forces which may be treated perturbatively. This picture accounts for both Casimir scaling at large N, and the asymptotic center…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Greensite , Charles B. Thorn

We review arguments that supersymmetric QCD with $N$ colors and $N_f \ge 0$ massive quarks confines. We explain that this remains the case for small soft breakings and small supersymmetric masses for any quarks. These results continue to…

High Energy Physics - Phenomenology · Physics 2023-11-28 Michael Dine

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Complex Langevin simulations allow numerical studies of theories that exhibit a sign problem, such as QCD, and are thereby potentially suitable to determine the QCD phase diagram from first principles. Here we study QCD in the limit of…

High Energy Physics - Lattice · Physics 2016-10-12 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty