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Related papers: Bosonization and QCD in Two Dimensions

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Here we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive $QED_2$ and $QED_3$ with $ N $ fermion flavors including also a Thirring coupling. We start from two point…

High Energy Physics - Theory · Physics 2009-11-10 D. Dalmazi , A. de Souza Dutra , Marcelo Hott

We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms of fermions in presence of $\mathbb{Z}_2$ gauge fields…

Mathematical Physics · Physics 2021-02-03 Arkadiusz Bochniak , Błażej Ruba

We extend the recently proposed symmetry breaking scenario of QCD$_3$ to the so-called "master" $(2+1)$d bosonization duality, which has bosonic and fermionic matter on both ends. Using anomaly arguments, a phase diagram emerges with…

High Energy Physics - Theory · Physics 2020-03-18 Kyle Aitken , Andrew Baumgartner , Changha Choi , Andreas Karch

The solitons and kinks of the SU(3) generalized sine-Gordon model (GSG) are shown to describe the baryonic spectrum of two-dimensional quantum chromodynamics (QCD$_{2}$). The GSG model arises in the low-energy effective action of bosonized…

High Energy Physics - Theory · Physics 2009-11-13 Harold Blas

We review the solution of QCD in two spacetime dimensions. Following the analysis of Baluni, for a single flavor the model can be analyzed using Abelian bosonization. The theory can be analyzed in strong coupling, when the quarks are much…

High Energy Physics - Phenomenology · Physics 2022-02-03 Robert M. Konik , Marton Lajer , Robert D. Pisarski , Alexei M. Tsvelik

We develop a technique that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, thereby leading to new results which cannot be otherwise obtained. Exploiting this technique, the two…

High Energy Physics - Theory · Physics 2016-09-06 R. Banerjee , C. Wotzasek

We present a path-integral bosonization approach for systems out of equilibrium based on a duality transformation of the original Dirac fermion theory combined with the Schwinger-Keldysh time closed contour technique, to handle the…

High Energy Physics - Theory · Physics 2015-06-22 R. E. Gamboa Saraví , C. M. Naón , F. A. Schaposnik

We show that bosonization in two dimensions can be derived as a special case of the duality transformations that have recently been used to good effect in string theory. This allows the construction of the bosonic counterpart of any…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Burgess , F. Quevedo

We study two-color QCD with two flavors of Wilson fermion as a function of quark chemical potential mu and temperature T, for two different lattice spacings and two different quark masses. We find that the quarkyonic region, where the…

High Energy Physics - Lattice · Physics 2020-04-15 Tamer Boz , Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

We develop a bosonization procedure on the half line. Different boundary conditions, formulated in terms of the vector and axial fermion currents, are implemented by using in general the mixed boundary condition on the bosonic field. The…

High Energy Physics - Theory · Physics 2009-10-30 Antonio Liguori , Mihail Mintchev

Three-dimensional topological insulators can be described by an effective field theory involving two `hydrodynamic' Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model. This describes…

High Energy Physics - Theory · Physics 2024-06-05 Andrea Cappelli , Lorenzo Maffi , Riccardo Villa

I discuss in this talk a bosonization approach recently developed. It leads to the (exact) bosonization rule for fermion currents in d > 2 dimensions and also provides a systematic way of constructing the bosonic action in different…

High Energy Physics - Theory · Physics 2009-10-30 Fidel A. Schaposnik

The ground state of the multi-flavor 2-dimensional quantum electrodynamics (QED_2) is determined in the presence of finite baryon density, and it is shown that the model possesses two phases, the low density phase where the external baryon…

High Energy Physics - Theory · Physics 2009-02-20 S. Nagy

Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory's spectrum, we developed a method to…

High Energy Physics - Theory · Physics 2018-08-22 Uwe Trittmann

In two dimensions the simple addition of two chiral bosons of opposite chiralities does not lead to a full massless scalar field. Similarly, in three dimensions the addition of two Maxwell-Chern-Simons fields of opposite helicities $\pm 1$…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi , A. de Souza Dutra

We study a strongly coupled $Z_2$ lattice gauge theory with two flavors of quarks, invariant under an exact $\mathrm{SU}(2)\times \mathrm{SU}(2) \times \mathrm{U}_A(1) \times \mathrm{U}_B(1)$ symmetry which is the same as QCD with two…

High Energy Physics - Lattice · Physics 2010-12-09 Shailesh Chandrasekharan , Anyi Li

The technique of extended dualization developed in this paper is used to bosonize quantized fermion systems in arbitrary dimension $D$ in the low energy regime. In its original (minimal) form, dualization is restricted to models wherein it…

High Energy Physics - Theory · Physics 2011-07-19 José Luis Cortés , Elena Rivas , Luis Velázquez

We study the two-color QCD matter within two fundamental quark flavors via both chiral perturbation theory and Nambu--Jona-Lasinio model methods. The effective Lagrangian described by low lying meson and baryon, i.e., diquark, is derived,…

High Energy Physics - Phenomenology · Physics 2018-08-07 Jingyi Chao

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case.…

High Energy Physics - Theory · Physics 2007-05-23 Jiro Sakamoto , Yasuaki Fukuoka

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning…

High Energy Physics - Theory · Physics 2018-06-13 Kyle Aitken , Andreas Karch , Brandon Robinson