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One flavor QCD is a rather intriguing variation on the underlying theory of hadrons. In this case quantum anomalies remove all chiral symmetries. This paper discusses the qualitative behavior of this theory as a function of its basic…

高能物理 - 理论 · 物理学 2008-11-26 Michael Creutz

We present a diagrammatic analysis of baryons in the $1/N$ expansion, where $N$ is the number of QCD colors. We use this method to show that there are an infinite number of degenerate baryon states in the large-$N$ limit. We also show that…

高能物理 - 唯象学 · 物理学 2009-10-22 Markus A. Luty , John March-Russell

We compute the complete one-loop corrections to the simplest class of QCD gluon amplitudes, those with two color-adjacent opposite-helicity external particles. We present results for an arbitrary number of external legs. The computation…

高能物理 - 唯象学 · 物理学 2009-11-11 Darren Forde , David A. Kosower

In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCD-like theories. As an example for…

高能物理 - 唯象学 · 物理学 2012-08-02 Lorenz von Smekal

This talk comments the main features of a hadronic description of QCD in the limit of large number of colours. We derive a quantum field theory for mesons based on chiral symmetry and a perturbative expansion in 1/NC. Some large-NC and…

高能物理 - 唯象学 · 物理学 2007-05-23 J. J. Sanz-Cillero

We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in…

高能物理 - 唯象学 · 物理学 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n-2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared-…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We compute helicity amplitudes for the one-loop QCD corrections to top-quark pair production analytically in terms of a set of uniformly transcendental master integrals. We provide corrections up to $O(\epsilon^2)$ in the dimensional…

高能物理 - 唯象学 · 物理学 2022-06-29 Simon Badger , Matteo Becchetti , Ekta Chaubey , Robin Marzucca , Francesco Sarandrea

To facilitate a simultaneous treatment of an arbitrary number of colors in representation theory-based descriptions of QCD color structure, we derive an $N$-independent reduction of SU($N$) tensor products. To this end, we label each…

高能物理 - 唯象学 · 物理学 2025-08-04 Stefan Keppeler , Malin Sjodahl , Bernanda Telalovic

The QCD phase diagram is analyzed within chiral quark models with nonlocal separable interactions. For the case of two light flavors, we describe in detail the characteristics of the chiral phase transition in the T-mu plane, and analyze…

高能物理 - 唯象学 · 物理学 2007-05-23 Daniel Gomez Dumm

Quantum chromodynamics (QCD) with a general number of colors, $\Nc$, provides a powerful theoretical laboratory to explore the dynamics of non-Abelian gauge theories. Although $\Nc =3$ does not look a large number, the $1/\Nc$ expansion…

高能物理 - 唯象学 · 物理学 2026-01-21 Toru Kojo

We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering…

高能物理 - 唯象学 · 物理学 2009-09-17 Walter T. Giele , Zoltan Kunszt , Kirill Melnikov

We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector…

高能物理 - 唯象学 · 物理学 2022-04-12 S. Abreu , F. Febres Cordero , H. Ita , M. Klinkert , B. Page , V. Sotnikov

A new background field formulation of QCD is presented in which the background gluon field is not a classical field, but an operator made up of quantized quark fields. This background field allows colorless quark states to form exact…

高能物理 - 理论 · 物理学 2007-05-23 Dr. Scott Chapman

In this paper we construct a CHY representation for all tree-level primitive QCD amplitudes. The quarks may be massless or massive. We define a generalised cyclic factor $\hat{C}(w,z)$ and a generalised permutation invariant function…

高能物理 - 理论 · 物理学 2016-03-23 Leonardo de la Cruz , Alexander Kniss , Stefan Weinzierl

The appearance of a new phase of QCD, Quarkyonic Matter in the limit of large number of colors is studied within Nambu-Jona-Lassinio effective chiral model coupled to the Polyakov loop. The interplay of this novel QCD phase with chiral…

高能物理 - 唯象学 · 物理学 2010-04-14 L. McLerran , K. Redlich , C. Sasaki

We present the complete two-loop corrections in massless QCD for the production of two photons and a jet, taking into account all color structures. In particular, we analytically compute all two-loop helicity amplitudes for the…

高能物理 - 唯象学 · 物理学 2022-01-05 Bakul Agarwal , Federico Buccioni , Andreas von Manteuffel , Lorenzo Tancredi

We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$…

高能物理 - 理论 · 物理学 2020-07-01 Takuya Kanazawa

We investigate the phase structure of QCD at finite temperature and light-quark chemical potential. We improve upon earlier results for N_f=2+1 dynamical quark flavors and investigate the effects of charm quarks in an extension to…

高能物理 - 唯象学 · 物理学 2014-09-05 Christian S. Fischer , Jan Luecker , Christian A. Welzbacher

Study of the spectrum and structure of color non-singlet combinations of quarks and antiquarks, neutralized by a non-dynamical compensating color source, may provide an interesting way to address questions about QCD that cannot be addressed…

高能物理 - 唯象学 · 物理学 2009-11-11 R. Jaffe