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The flow equation method (Wegner 1994) is used as continuous unitary transformation to construct perturbatively effective Hamiltonians. The method is illustrated in detail for dimerized and frustrated antiferromagnetic S=1/2 chains. The…

Strongly Correlated Electrons · Physics 2009-10-31 Christian Knetter , Goetz S. Uhrig

We calculate the gravitational form factors (GFFs) and pressure, shear and energy distributions for a quark state dressed with a gluon at one loop in QCD. We use the light-front Hamiltonian approach. In the light-front gauge, we use a…

High Energy Physics - Phenomenology · Physics 2022-04-06 Jai More , Asmita Mukherjee , Sreeraj Nair , Sudeep Saha

Fluidity of quark-gluon plasma (QGP) is studied where interaction between quark and gluon is mapped through fugacity in particle distribution function using lattice quantum chromodynamics (LQCD) results.

High Energy Physics - Phenomenology · Physics 2020-01-17 Souvik Paul , Ankita Mishra , Jayanta Dey , Sarthak Satapathy , Sabyasachi Ghosh

We solve for the light-front wave functions of the nucleon from a light-front quantum chromodynamics (QCD) effective Hamiltonian with three-dimensional confinement. We obtain solutions using constituent three quarks combined with three…

High Energy Physics - Phenomenology · Physics 2024-06-25 Siqi Xu , Chandan Mondal , Xingbo Zhao , Yang Li , James P. Vary

A model which combines the perturbative behavior of QCD with low energy phenomenology in a unified framework is developed. This is achieved by applying a similarity transformation to the QCD Hamiltonian which removes interactions between…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. P. Szczepaniak , E. S. Swanson

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…

High Energy Physics - Theory · Physics 2007-05-23 Dr. Scott Chapman

We examine a nonlocal interaction that results from expressing the QCD Hamiltonian entirely in terms of gauge-invariant quark and gluon fields. The interaction couples one quark color-charge density to another, much as electric charge…

High Energy Physics - Theory · Physics 2009-10-31 Lusheng Chen , Kurt Haller

In this series of lectures, I shall begin with the current investigations on phenomenology of hadron dynamics to demonstrate the importance of solving hadronic bound states within the framework of light-front (LF) QCD. Then, I will describe…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wei-Min Zhang

The contribution presents a summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions. Considering the ideal case of a supersymmetric Yang-Mills theory for which the…

High Energy Physics - Theory · Physics 2009-06-24 Michal P. Heller , Romuald A. Janik , R. Peschanski

We have attempted to build first some simplified model to map the interaction of quarks and gluons, which can be contained by their thermodynamical quantity like entropy density, obtained from calculation of lattice quantum chromo dynamics…

High Energy Physics - Phenomenology · Physics 2020-04-22 Sarthak Satapathy , Souvik Paul , Ankit Anand , Ranjesh Kumar , Sabyasachi Ghosh

The system of light quark and heavy anti-quark source is studied in 1+1 QCD in the large $N_C$ limit. Making use of the modified Fock-Schwinger gauge allows to consider simultaneously the spectroscopical problem of the q\bar Q bound states…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nefediev

The systematic approach to study bound states in quantum chromodynamics is presented. The method utilizes nonperturbative flow equations in the confining background, that makes possible to perform perturbative renormalization and to bring…

High Energy Physics - Phenomenology · Physics 2010-12-13 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

Starting from the Fock space representation of hadron bound states in a quark model, a change of representation is implemented by a unitary transformation such that the composite hadrons are redescribed by elementary-particle field…

High Energy Physics - Phenomenology · Physics 2010-11-19 D. Hadjimichef , G. Krein , S. Szpigel , J. S. da Veiga

Asymptotic freedom of gluons in QCD is obtained in the leading terms of their renormalized Hamiltonian in the Fock space, instead of considering virtual Green's functions or scattering amplitudes. Namely, we calculate the three-gluon…

High Energy Physics - Phenomenology · Physics 2015-09-16 Maria Gomez-Rocha , Stanislaw D. Glazek

Quantum Chromodynamics (QCD), the gauge field theory of the Strong Interaction, has specific features, asymptotic freedom and confinement, which determine the behaviour of quarks and gluons in particle reactions at high and at low energy…

High Energy Physics - Experiment · Physics 2008-11-26 Siegfried Bethke

We derive and solve the Hamiltonian flow equations for a Dirac particle in an external static potential. The method shows a general procedure for the set up of continuous unitary transformations to reduce the Hamiltonian to a quasidiagonal…

High Energy Physics - Theory · Physics 2009-10-30 A. B. Bylev , H. J. Pirner

A nonperturbative renormalization group equation describes how the momentum dependent four-quark vertex depends on an infrared cutoff. We find a quasilocal one-particle irreducible piece generated by (anomaly-free) multi-gluon exchange. It…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro , Christof Wetterich

We consider quark-gluon plasma with chemical potential and study renormalization group flows of transport coefficients in the framework of gauge/gravity duality. We first study them using the flow equations and compare the results with…

High Energy Physics - Theory · Physics 2012-02-01 Yoshinori Matsuo , Sang-Jin Sin , Yang Zhou

We consider quantum electrodynamics with chiral four-Fermi interactions in the functional renormalization group approach. In gauge theories, the functional flow equation for the effective action is accompanied by the quantum master equation…

High Energy Physics - Theory · Physics 2026-01-14 Yoshio Echigo , Yuji Igarashi , Katsumi Itoh , Jan M. Pawlowski , Yu Takahashi

Motivated by recent interest in collectivity in small systems, we calculate the harmonic flow response to initial geometry deformations within weakly coupled QCD kinetic theory using the first correction to the free-streaming background. We…

High Energy Physics - Phenomenology · Physics 2021-12-14 Aleksi Kurkela , Aleksas Mazeliauskas , Robin Törnkvist