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We critically re-examine our earlier derivation of the effective low energy action for QCD in 4 dimensions with chiral fields transforming non-trivially under both color and flavor, using the method of anomaly integration. We find several…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yitzhak Frishman , Amihay Hanany , Marek Karliner

We present a non-perturbative framework for incorporating gauge field fluctuations into effective actions of QED3 in the infrared using fermionic particle-vortex duality. This approach is demonstrated through the applications to models…

High Energy Physics - Theory · Physics 2024-12-31 Wei-Han Hsiao

We study models of chiral interacting fermions by means of conformal and Bethe-Ansatz techniques, and determine their thermodynamic properties and asymptotic correlation functions. We identify a class of fixed points characterizing the…

Condensed Matter · Physics 2016-08-31 Natan Andrei , Michael R. Douglas , Andrés Jerez

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan

QCD thermodynamics is considered using Wilson fermions in the fixed scale approach. The temperature dependence of the renormalized chiral condensate, quark number susceptibility and Polyakov loop is measured at four lattice spacings…

High Energy Physics - Lattice · Physics 2015-06-05 S. Borsanyi , S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , D. Nogradi , B. C. Toth , N. Trombitas , K. K. Szabo

Quantum electrodynamics in 2+1-dimensions (QED$_3$) is a strongly coupled conformal field theory (CFT) of a U(1) gauge field coupled to $2N$ two-component massless fermions. The $N=2$ CFT has been proposed as a ground state of the spin-1/2…

Strongly Correlated Electrons · Physics 2017-07-05 Alex Thomson , Subir Sachdev

We investigate the UV fixed-point structure of the three-dimensional Thirring model by means of the functional renormalization group (RG). We classify all possible 4-fermi interactions compatible with the present chiral and discrete…

High Energy Physics - Theory · Physics 2010-10-27 Holger Gies , Lukas Janssen

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling the Standard Model. We investigate an $SU(N)$ gauge theory with $M$ Dirac flavors where we gauge first an $SU(M)_L$ and then an $SU(2)_L \subset…

High Energy Physics - Theory · Physics 2016-02-19 Jacob Kamuk Esbensen , Thomas A. Ryttov , Francesco Sannino

We discuss qualitative behavior of the SU(N) gauge beta functions in QCD with many massless flavors. Non-perturbative beta functions can be obtained by extracting the renormalized trajectories in the exact renormalization group framework.…

High Energy Physics - Phenomenology · Physics 2015-05-27 Yuki Kusafuka , Haruhiko Terao

Renormalizable nonanticommutative SYM theories with chiral matter in the adjoint representation of the gauge group have been recently constructed in [arXiv:0901.3094]. In the present paper we focus on the U*(1) case with matter interacting…

High Energy Physics - Theory · Physics 2009-07-22 Marco S. Bianchi , Silvia Penati , Alberto Romagnoni , Massimo Siani

Relativistic fermionic systems have physical quantities calculated by well stablished quantum electrodynamic prescriptions. In the last few years there has been an enormous interest in condensed matter systems in which the fermions exhibit…

Strongly Correlated Electrons · Physics 2020-02-19 Heron Caldas

We consider the most general four fermion operators in QCD for two and three massless flavors and study their renormalization in the vicinity of the Fermi surface. We show that, asymptotically, the largest coupling corresponds to scalar…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Schaefer , Frank Wilczek

Building on earlier work, the dipole subtraction formalism for photonic corrections is extended to various photon--fermion splittings where the resulting collinear singularities lead to corrections that are enhanced by logarithms of small…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Dittmaier , Alois Kabelschacht , Tobias Kasprzik

For an anisotropic euclidean $\phi^4$-theory with two interactions $[u (\sum_{i=1^M {\phi}_i^2)^2+v \sum_{i=1}^M \phi_i^4]$ the $\beta$-functions are calculated from five-loop perturbation expansions in $d=4-\varepsilon$ dimensions, using…

Quantum Physics · Physics 2009-10-30 H. Kleinert , S. Thoms , V. Schulte-Frohlinde

Since four-fermion operators in strongly coupled $QED$ are nonperturbatively renormalizable, we analyze here the phase diagram and critical behaviour of the Gauged Nambu-Jona Lasinio model. Our mean field approximation relates the critical…

High Energy Physics - Lattice · Physics 2009-10-28 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , C. E. Piedrafita

Dynamical chiral symmetry breaking (D$\chi$SB) is studied within ($2+1$)-dimensional QED with $N$ four-component fermions. The leading and next-to-leading orders of the $N$ expansion were computed exactly in…

High Energy Physics - Theory · Physics 2019-03-13 A. V. Kotikov , S. Teber

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

High Energy Physics - Lattice · Physics 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

We consider three-dimensional Quantum Electrodynamics in the presence of a Chern-Simons term at level $k$ and $N_f$ flavors, in the limit of large $N_f$ and $k$ with $k/N_f$ fixed. We consider either bosonic or fermionic matter fields, with…

High Energy Physics - Theory · Physics 2023-12-21 Lorenzo Di Pietro , Edoardo Lauria , Pierluigi Niro

We study the fixed-point structure of four-fermion interactions in two-flavor QCD with Nc colors close to the finite-temperature phase boundary. In particular, we analyze how the fixed-point structure of four-fermion interactions is related…

High Energy Physics - Phenomenology · Physics 2015-05-27 Jens Braun , Alexander Janot

We discuss the formulation of the prototype gauge field theory, QED, in the context of two-particle-irreducible (2PI) functional techniques with particular emphasis on the issues of renormalization and gauge symmetry. We show how to…

High Energy Physics - Phenomenology · Physics 2010-04-22 U. Reinosa , J. Serreau