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We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field. Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an appropriate…

High Energy Physics - Theory · Physics 2007-05-23 K. Haller , E. Lim-Lombridas

We develop a generalized Aufbau principle for non-Hermitian systems that allows for building up the configurations of indistinguishable particles. The Aufbau rule of non-Hermitian systems is unexpectedly shown to be identical to that…

Quantum Physics · Physics 2023-07-24 Gaoyong Sun , Su-Peng Kou

We discuss an extension of the dyon-anti-dyon liquid model that includes light quarks in the dense center symmetric Coulomb phase. In this work, like in our previous one, we use the simplest color SU(2) group. We start with a single fermion…

High Energy Physics - Phenomenology · Physics 2015-10-14 Yizhuang Liu , Edward Shuryak , Ismail Zahed

Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 I. Taktak , M. Kapfer , J. Nath , P. Roulleau , M. Acciai , J. Splettstoesser , I. Farrer , D. A. Ritchie , D. C. Glattli

We study 4-dimensional higher-derivative conformal higher spin (CHS) fields generalising Weyl graviton and conformal gravitino. They appear, in particular, as "induced" theories in the AdS/CFT context. We consider their partition function…

High Energy Physics - Theory · Physics 2015-06-17 A. A. Tseytlin

The temperature dependence of commutator anomalies is discussed on the explicit example of particular (anyonic) field operators in two dimensions. The correlation functions obtained show that effects of the non-zero temperature might…

High Energy Physics - Theory · Physics 2015-06-25 Nevena Ilieva

The second viral coefficient calculated using the equation suggested in the paper of Kaplun A.B., Meshalkin A.B. Equation for the second virial coefficient published in High temperature high pressure, 1999, Volume 31, pages 253-258 is…

Statistical Mechanics · Physics 2013-06-11 I. H. Umirzakov

We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables describing massive particles with spin, which together with…

High Energy Physics - Theory · Physics 2021-12-21 Daniel J Burger , William T. Emond , Nathan Moynihan

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

Anyons have exotic statistical properties, fractional statistics, differing from Bosons and Fermions. They can be created as excitations of some Hamiltonian models. Here we present an experimental demonstration of anyonic fractional…

Quantum Physics · Physics 2013-08-14 Guanru Feng , Guilu Long , Raymond Laflamme

Cabibbo-allowed two-body hadronic weak decays of bottom baryons are analyzed. Contrary to the charmed baryon sector, many channels of bottom baryon decays proceed only through the external or internal W-emission diagrams. Moreover,…

High Energy Physics - Phenomenology · Physics 2009-10-30 Hai-Yang Cheng

We study $SU(2)$ Chern-Simons theories at level $k$ coupled to a scalar on $T^2\times \mathbb{R}$ at large baryon number. We find a homogeneous but anisotropic ground state configuration for any values of $k$ on the IR fixed-point of those…

High Energy Physics - Theory · Physics 2021-11-02 Masataka Watanabe

In a remarkable paper, Dienes discovered that the absence of physical tachyons in closed string theory is intimately related to oscillations in the net number of bosonic minus fermionic degrees of freedom, a pattern predicted by an…

High Energy Physics - Theory · Physics 2023-07-26 Carlo Angelantonj , Ioannis Florakis , Giorgio Leone

In a large class of chiral gauge theories in four dimensions it was found that certain natural assumption about the bifermion condensates leads to the infrared effective theory where the 't Hooft anomaly matching conditions are satisfied in…

High Energy Physics - Theory · Physics 2024-10-03 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio , Matteo Orso

The confinement mechanism proposed earlier and then successfully applied to meson spectroscopy by the author is extended over baryons. For this aim the wave functions of baryons are built as tensorial products of those corresponding to the…

High Energy Physics - Phenomenology · Physics 2013-12-23 Yu. P. Goncharov

New vector bosons that are coupled to conserved currents in the Standard Model exhibit enhanced rates below the electroweak scale from anomalous triangle amplitudes, leading to (energy/vector mass)$^2$ enhancements to rare Z decays and…

High Energy Physics - Phenomenology · Physics 2024-01-08 Tyler B. Smith , Tim M. P. Tait

We have studied self-conjugate second-order equations with spinor wavefunctions for fermions moving in an external Coulomb field. For stationary states, the equations are characterized by separated states with positive and negative…

General Physics · Physics 2019-07-09 V. P. Neznamov , I. I. Safronov

We derive a necessary and sufficient criterion for when a two dimensional gapped many-body system with Abelian anyons and a unitary $\mathbb{Z}_2$ symmetry has a protected gapless edge mode. Our criterion is phrased in terms of edge…

Strongly Correlated Electrons · Physics 2018-07-23 Chris Heinrich , Michael Levin

We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter $\alpha$. The lower bounds extend to…

Mathematical Physics · Physics 2018-11-28 Douglas Lundholm , Robert Seiringer

Algorithmic progress in recent years made it possible to simulate QCD with Nf=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We present the current results for baryon spectrum states, the nucleon axial coupling and…