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We study the two dimensional lattice Thirring model in the presence of a fermion chemical po- tential. Our model is asymptotically free, contains massive fermions that mimic a baryon and light bosons that mimic pions. Hence it is a useful…

High Energy Physics - Lattice · Physics 2018-03-14 Venkitesh Ayyar , Shailesh Chandrasekharan , Jarno Rantaharju

We construct a conformal lattice theory with only gauge degrees of freedom based on the induced non-local gauge action in QED$_3$ coupled to large number of flavors $N$ of massless two-component Dirac fermions. This lattice system displays…

High Energy Physics - Lattice · Physics 2020-12-23 Nikhil Karthik , Rajamani Narayanan

We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamically obtain the bosonization duality that equates the theory…

High Energy Physics - Theory · Physics 2016-10-19 Shamit Kachru , Michael Mulligan , Gonzalo Torroba , Huajia Wang

Non-perturbative production of fermions after chaotic inflation has been the object of several studies in the very recent past. However, the results in the most interesting case of production of massive fermions in an expanding Universe…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Peloso , L. Sorbo

In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

We study bosonisation in the massive Thirring and sine-Gordon models at finite temperature and nonzero fermion chemical potential. Both canonical operator and path integral approaches are used to prove the equality of the partition…

High Energy Physics - Theory · Physics 2007-05-23 A. Gomez Nicola , R. J. Rivers , D. A. Steer

The ground, one- and two-particle states of the (1+1)-dimensional massive sine-Gordon field theory are investigated within the framework of the Gaussian wave-functional approach. We demonstrate that for a certain region of the…

High Energy Physics - Theory · Physics 2009-10-31 Wen-Fa Lu

We show that the fermionic and bosonic spectrum of $d=2$ fermions at finite density coupled to a critical boson can be determined non-perturbatively in the combined limit $k_F\rightarrow {\infty}$, $N_f \rightarrow 0$ with $N_fk_F$ fixed.…

Strongly Correlated Electrons · Physics 2017-10-25 Petter Säterskog , Balazs Meszena , Koenraad Schalm

We derive an effective dual holographic Einstein-Maxwell theory, applying renormalization group transformations to interacting Dirac fermions in a recursive way. In particular, we show how both background metric tensor and U(1) gauge fields…

Strongly Correlated Electrons · Physics 2020-10-19 Ki-Seok Kim

We propose a new solution to the strong-CP problem. It involves the existence of an unbroken gauged $U(1)_X$ symmetry whose gauge boson gets a Stuckelberg mass term by combining with a pseudoscalar field $\eta (x)$. The latter has…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Aldazabal , L. E. Ibanez , A. M. Uranga

A procedure of bosonization of Fermions in an arbitrary dimension is suggested. It is shown that a quadratic expression in the fermionic fields after rescaling time $t\to t/\lambda^2$ and performing the limit $\lambda\to0$ (stochastic…

High Energy Physics - Theory · Physics 2007-05-23 L. Accardi , Y. G. Lu , I. Volovich

The electromagnetic characteristics of the fractional quantum Hall states are studied by formulating an effective vector-field theory that takes into account projection to the exact Landau levels from the beginning. The effective theory is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Shizuya

We present a top-down string theory holographic model of strongly interacting relativistic 2+1-dimensional fermions, paying careful attention to the discrete symmetries of parity and time reversal invariance. Our construction is based on…

High Energy Physics - Theory · Physics 2013-06-21 Joshua L. Davis , Hamid Omid , Gordon W. Semenoff

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where \lambda=N/K is kept fixed. Following arXiv:1110.4386 we…

High Energy Physics - Theory · Physics 2015-06-16 Yitzhak Frishman , Jacob Sonnenschein

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we consider a duality between lattice fermions and bosons in (2+1) spacetime dimensions, relating free massive Dirac fermions to Abelian…

High Energy Physics - Theory · Physics 2020-10-28 Oguz Turker , Jeroen van den Brink , Tobias Meng , Flavio S. Nogueira

We relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For…

Statistical Mechanics · Physics 2007-05-23 Thomas Barthel , Ming-Chiang Chung , Ulrich Schollwoeck

We discuss two methods for relating bosonic and fermionic relativistic field theories in 2+1 dimensions, the $Z_2^f$ gauging and the flux attachment. The first is primarily a correspondence between topological theories. It amounts to…

High Energy Physics - Theory · Physics 2025-03-05 Andrea Cappelli , Riccardo Villa

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 discuss bosonized two-dimensional QCD with massless fermions in the adjoint and multi-flavor fundamental representations. We evaluate the massive mesonic spectra of several models by using the light-front quantization and diagonalizing…

High Energy Physics - Theory · Physics 2009-10-28 A. Armoni , J. Sonnenschein

We consider a $\mathbb{Z}_3$ gauge theory coupled to three degenerate massive flavors of fermions, which we term "QZD". The spectrum can be computed in $1+1$ dimensions using tensor networks. In weak coupling the spectrum is that of the…

High Energy Physics - Theory · Physics 2023-10-30 Adrien Florio , Andreas Weichselbaum , Semeon Valgushev , Robert D. Pisarski