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The baryon mass operator is studied within a combined expansion in $1/N_c$ and perturbative $SU(3)$ flavor symmetry breaking, where $N_c$ denotes the number of quark charges. Flavor projection operators are used to classify the baryon…

The 2-dimensional space-time sine-Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A…

High Energy Physics - Theory · Physics 2014-11-18 Pascal Baseilhac

We use the Hamiltonian framework to study massless QCD$_{1+1}$, i.e.\ Yang-Mills gauge theories with massless Dirac fermions on a cylinder (= (1+1) dimensional spacetime $S^1\times \R$) and make explicite the full, non-perturbative…

High Energy Physics - Theory · Physics 2009-10-28 E. Langmann , G. W. Semenoff

Recent interest in novel phases in high density QCD motivates the study of high density supersymmetric QCD (SQCD), where powerful exact results for supersymmetric gauge theories can be brought to bear in the strongly coupled regime. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Roni Harnik , Daniel T. Larson , Hitoshi Murayama

We present a method for ordering two-nucleon interactions based upon their scaling with the number of QCD colors, $N_c$, in the limit that $N_c$ becomes large. Available data in the two-nucleon sector shows general agreement with this…

Nuclear Theory · Physics 2022-12-27 Thomas R. Richardson , Matthias R. Schindler , Roxanne P. Springer

We use two-dimensional QCD as a toy laboratory to study off-forward parton distributions (OFPDs) in a covariant field theory. Exact expressions (to leading order in $1/N_C$) are presented for OFPDs in this model and are evaluated for some…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Burkardt

QED_2 with mass and flavor has in common many features with QCD, and thus is an interesting toy model relevant for four dimensional physics. The model is constructed using Euclidean path integrals and mass perturbation series. The vacuum…

High Energy Physics - Theory · Physics 2015-06-26 Christof Gattringer

I give a brief overview of the model-independent analysis of unstable baryon resonances in the 1/N_c QCD expansion. This approach produces numerous surprising semi-quantitative phenomenological predictions that are supported by available…

High Energy Physics - Phenomenology · Physics 2009-11-11 Richard F. Lebed

We calculate the ghost two-point function in Coulomb gauge QCD with a simple model vacuum gluon wavefunction using Monte Carlo integration. This approach extends the previous analytic studies of the ghost propagator with this ansatz, where…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hrayr H. Matevosyan , Adam P. Szczepaniak , Patrick O. Bowman

In this paper, we present an extension of MadGraph5_aMC@NLO which is able to evaluate tree-level QCD matrix-elements up to $2\to 6$ (one more particle than before). To achieve this, we implemented Berends-Giele-like recursion, and…

High Energy Physics - Phenomenology · Physics 2022-12-20 Andrew Lifson , Olivier Mattelaer

We present a N=1 Supersymmetric extension of a spin-charge separated effective $SU(2)\times U_S(1)$ `particle-hole' gauge theory of excitations about the nodes of the gap of a d-wave planar magnetic superconductor. The supersymmetry is…

Condensed Matter · Physics 2009-10-30 G. A. Diamandis , B. C. Georgalas , N. E. Mavromatos

In this work, we investigate radiative corrections in the higher-order extension of the Maxwell-Chern-Simons model coupled to standard spinor matter in $2+1$ dimensions. We begin analyzing the higher-order gauge sector, where we find the…

High Energy Physics - Theory · Physics 2025-09-01 Ricardo Avila , Albert Yu. Petrov , Carlos M. Reyes , César Riquelme , Angel Sanchez

The relation between the quark-gluon description of QCD and the hadronic picture is studied up to order alpha_s. The analysis of the spin-1 correlators is developed within the large NC framework. Both representations are shown to be…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. J. Sanz-Cillero

We suggest using the half-width rule to make an estimate of the 1/Nc errors in hadronic models containing resonances. We show simple consequences ranging from the analysis of meson Regge trajectories, the hadron resonance gas at finite…

High Energy Physics - Phenomenology · Physics 2012-10-29 Enrique Ruiz Arriola , Wojciech Broniowski , Pere Masjuan

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincar{\'e} and gauge invariant,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Hoyer , Stephane Peigne

We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons resonances are introduced via non-linear realization of chiral SU(3) and vector…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

We examine the 1/N expansion, where N is the number of two-component Dirac fermions, for Coulomb interactions in graphene with a gap of magnitude $\Delta = 2 m$. We find that for $N\alpha\gg1$, where $\alpha$ is graphene's "fine structure…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Valeri N. Kotov , Bruno Uchoa , A. H. Castro Neto

We reconstruct ghost and gluon spectral functions in 2+1 flavor QCD with Gaussian process regression. This framework allows us to largely suppress spurious oscillations and other common reconstruction artifacts by specifying generic…

High Energy Physics - Phenomenology · Physics 2022-02-25 Jan Horak , Jan M. Pawlowski , José Rodríguez-Quintero , Jonas Turnwald , Julian M. Urban , Nicolas Wink , Savvas Zafeiropoulos

The construction of a resonance theory involving hadrons requires implementing the information from higher scales into the couplings of the effective Lagrangian. We consider the large-Nc chiral resonance theory incorporating scalars and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Portoles , Ignasi Rosell , Pedro Ruiz-Femenia

Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable representations of the associated Feynman diagrams. The…

Mathematical Physics · Physics 2011-10-25 S. A. Yost , V. V. Bytev , M. Yu. Kalmykov , B. A. Kniehl , B. F. L. Ward