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This thesis aims at providing better understanding of the perturbative expansion of gauge theories with and without supersymmetry. At tree level, the BCFW recursion relations are analyzed with respect to their validity for general off-shell…

High Energy Physics - Theory · Physics 2014-09-30 Alexander Ochirov

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

This paper aims to develop a non-commutative geometrical version of the theory of Yang--Mills--Scalar--Matter fields. To accomplish this purpose, we will dualize the geometrical formulation of this theory, in which principal $G$--bundles,…

Quantum Algebra · Mathematics 2025-05-06 Gustavo Amilcar Saldaña Moncada

We calculate the mass and residue of the heavy spin--1/2 baryons containing two heavy b or c quarks in the framework of QCD sum rules. We use the most general form of the interpolating current in its symmetric and anti-symmetric forms with…

High Energy Physics - Phenomenology · Physics 2015-06-05 T. M. Aliev , K. Azizi , M. Savci

Quarkonia -- mesons made of a heavy quark and anti-quark -- have been extensively studied experimentally. Theoretical calculations of quarkonia based on lattice QCD are possible with control over the systematic errors. The comparison with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aida X. El-Khadra

$\mathcal{N}=1$ supersymmetric QCD (SQCD) is a possible building block of theories beyond the standard model. It describes the interaction between gluons and quarks with their superpartners, gluinos and squarks. Since supersymmetry is…

High Energy Physics - Lattice · Physics 2018-11-06 Björn Wellegehausen , Andreas Wipf

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

The Landau levels of scalar QED undergo continuous transitions under a homogeneous, time-dependent magnetic field. We analytically formulate the Klein-Gordon equation for a charged spinless scalar as a Cauchy initial value problem in the…

High Energy Physics - Theory · Physics 2015-06-15 Sang Pyo Kim

Color-factor symmetry is used to derive a KLT-type relation for tree-level QCD amplitudes containing gluons and an arbitrary number of massive or massless quark-antiquark pairs, generalizing the expression for Yang-Mills amplitudes…

High Energy Physics - Theory · Physics 2018-04-04 Robert W. Brown , Stephen G. Naculich

Ten dimensional supersymmetric Yang-Mills theory may be described, in the light-cone gauge, in terms of either a vector or spinor superfield satisfying certain projection conditions (type I or II). These have been presented in a $ SO(9,1) $…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Vazquez-Bello

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

A gauge invariant, non-local observable is constructed in pure gauge theory, which is identical to the gluon propagator in a particular gauge, permitting to define a non-perturbative parton mass for the gluon. This mass can be shown to be…

High Energy Physics - Lattice · Physics 2007-05-23 O. Philipsen

QCD, the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes…

High Energy Physics - Phenomenology · Physics 2021-09-01 Michael Creutz

We compute the leading probability for a gluon to flip helicity state upon traversing a background plane wave gauge field in pure Yang-Mills theory and QCD, with an arbitrary number of colours and flavours. This is a one-loop calculation in…

High Energy Physics - Theory · Physics 2019-06-26 Tim Adamo , Anton Ilderton

Nonperturbative QCD is studied with the dual Ginzburg-Landau theory, where color confinement is realized through the dual Higgs mechanism by QCD-monopole condensation. We obtain a general analytic formula for the string tension. A compact…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Suganuma , H. Ichie , S. Sasaki , H. Toki

We discuss two dimensional Yang -- Mills theories with massless fermions in arbitrary representations of a gauge group $G$. It is shown that the physics (spectrum and interactions) of the massive states in such models is independent of the…

High Energy Physics - Theory · Physics 2016-09-06 D. Kutasov , A. Schwimmer

A positive muon ($\mu^+$) and an electron ($e^-$) form the the hydrogen-like muonium atom ($M$=$\mu^+ e^-$). Since it consists of two leptonic particles which are according to present knowledge point-like, accurate calculations of its level…

High Energy Physics - Experiment · Physics 2016-08-31 K. Jungmann

We propose a qualitatively new mechanism for quarkonium production, motivated by the global features of the experimental data and by the successes/failures of existing models. In QCD, heavy quarks are created in conjunction with a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Paul Hoyer , Stephane Peigne

The cross section of \chi_{cJ} hadroproduction is calculated in the k_t-factorization approach. We find a significant contribution of the \chi_{c1} state due to non-applicability of the Landau-Yang theorem because of off-shell gluons. The…

High Energy Physics - Phenomenology · Physics 2011-03-23 Ph. Hagler , R. Kirschner , A. Schafer , L. Szymanowski , O. V. Teryaev

We show that the perturbation series for quarkonia energies diverges at large orders. This results in a perturbative ambiguity in the energy that scales as e^(-1/a*Lambda) where a is the Bohr radius of quarkonium and Lambda is the QCD scale…

High Energy Physics - Phenomenology · Physics 2009-10-30 Martin C. Smith , T. Stelzer , S. Willenbrock
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