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Related papers: Bosonization and QCD in Two Dimensions

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We develop a new method that allows us to map models of interacting fermions onto bosonic models describing collective excitations in an arbitrary dimension. This mapping becomes exact in the thermodynamic continuous time limit. The boson…

Strongly Correlated Electrons · Physics 2015-05-14 K. B. Efetov , C. Pépin , H. Meier

Results are presented from a numerical study of lattice QCD with gauge group SU(2) and two flavors of Wilson fermion at non-zero quark chemical potential mu >> T. Studies of the equation of state, the superfluid condensate, and the Polyakov…

Nuclear Theory · Physics 2008-11-26 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

I recently proposed a method of bosonization valid for systems of an even number of fermions whose partition function is dominated at low energy by bosonic composites. This method respects all symmetries, in particular fermion number…

Nuclear Theory · Physics 2017-08-23 F. Palumbo

We present an extension of ``smooth bosonization'' to the non-Abelian case. We construct an enlarged theory containing both bosonic and fermionic fields which exhibits a local chiral gauge symmetry. A gauge fixing function depending on one…

High Energy Physics - Theory · Physics 2009-10-28 P. H. Damgaard , R. Sollacher

The charmless bottom meson decays are systematically investigated based on an approximate six quark operator effective Hamiltonian from perturbative QCD. It is shown that within this framework the naive QCD factorization method provides a…

High Energy Physics - Phenomenology · Physics 2010-02-26 Fang Su , Yue-Liang Wu , Yi-Bo Yang , Ci Zhuang

We use high dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in two-dimensional Fermi liquids. The bosonization approach explicitly retains all low-energy degrees of freedom of the…

Strongly Correlated Electrons · Physics 2007-05-23 Kun Yang

We present an analytic approach to solving 1+1 dimensional QCD with an adjoint Majorana fermion. In the UV this theory is described by a trivial CFT containing free fermions. The quasi-primary operators of this CFT lead to a discrete basis…

High Energy Physics - Theory · Physics 2015-06-17 Emanuel Katz , Gustavo Marques Tavares , Yiming Xu

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

Mathematical Physics · Physics 2013-08-26 Jonas de Woul , Edwin Langmann

Two identical non-interacting fermions in a three-dimensional harmonic oscillator well are bosonised exactly according to a recently developed general algebraic scheme. Rotational invariance is taken into account within the scheme for the…

Quantum Physics · Physics 2020-03-05 Katarina Rožman , D. K. Sunko

We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free massive…

High Energy Physics - Theory · Physics 2016-09-06 Ninoslav Brali{ć} , Eduardo Fradkin , Virginia Manias , Fidel A. Schaposnik , .

We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$ is…

High Energy Physics - Theory · Physics 2009-09-25 M. Shifman , A. Smilga

In his 1976 paper "More about the massive Schwinger model", Coleman introduced $1+1$-dimensional Quantum Electrodynamics coupled to two charged massive fermions. By applying Abelian bosonization, he elucidated much of the physics of this…

The celebrated exactly solvable "Schwinger" model, namely massless two-dimensional QED, is revisited. The solution presented here emphasizes the non- perturbative relevance of the topological sector through large gauge transformations whose…

High Energy Physics - Theory · Physics 2012-01-04 Michaël Fanuel , Jan Govaerts

The nonabelian global chiral symmetries of the two-dimensional N flavour massless Schwinger model are realised through bosonisation and a vertex operator construction.

High Energy Physics - Theory · Physics 2017-08-23 Laure Gouba , Jan Govaerts , M. Norbert Hounkonnou

We develop a color bosonization approach to treatment of QCD gauge field (''gluons'') at low energies in order to derive an effective color action of QCD taking into account the quark chiral anomaly in the case of SU(2) color.. We have…

High Energy Physics - Phenomenology · Physics 2009-11-11 Victor Novozhilov , Yuri Novozhilov

A second order extension of the QED Lagrangian (including boson-boson coupling) has been used to describe q\bar q hadrons. Assuming massless elementary fermions (quantons) this results in a finite theory without open parameters, which may…

General Physics · Physics 2013-11-08 H. P. Morsch

We consider a five dimensional model with warped geometry where the standard model fermions and gauge bosons correspond to bulk fields. Fermion masses and CKM mixings can be explained in a geometrical picture, without hierarchical Yukawa…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephan J. Huber

We revisit the problem of baryons in the large N limit of Quantum Chromodynamics. A special case in which the theory of Skyrmions is inapplicable is one-flavor QCD, where there are no light pions to construct the baryon from. More…

High Energy Physics - Theory · Physics 2019-02-08 Zohar Komargodski

We study SU(2) color QCD with even number of quark flavors. First, using QCD inequalities we show that at finite baryon chemical potential mu, condensation must occur in the channel with scalar diquark quantum numbers. This breaks the U(1)…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. B. Kogut , M. A. Stephanov , D. Toublan

Novel controlled non-perturbative techniques are a must in the study of strongly correlated systems, especially near quantum criticality. One of these techniques, bosonization, has been extensively used to understand one-dimensional, as…

Strongly Correlated Electrons · Physics 2018-11-01 Daniel G. Barci , Eduardo Fradkin , Leonardo Ribeiro