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Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

Tensor network quantum states are powerful tools for strongly correlated systems, tailored to capture local correlations such as in ground states with entanglement area laws. When applying tensor network states to interacting fermionic…

Strongly Correlated Electrons · Physics 2025-01-10 Ang-Kun Wu , Benedikt Kloss , Wladislaw Krinitsin , Matthew T. Fishman , J. H. Pixley , E. M. Stoudenmire

We consider the entropy and decoherence in fermionic quantum systems. By making a Gaussian Ansatz for the density operator of a collection of fermions we study statistical 2-point correlators and express the entropy of a system fermion in…

High Energy Physics - Theory · Physics 2012-11-06 Tomislav Prokopec , Michael G. Schmidt , Jan Weenink

State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered…

High Energy Physics - Lattice · Physics 2024-02-05 Joao C. Pinto Barros , Thea Budde , Marina Krstic Marinkovic

We study the transformation properties of a scalar-tensor theory, coupled to fermions, under the Weyl rescaling associated with a transition from the Jordan to the Einstein frame. We give a simple derivation of the corresponding…

High Energy Physics - Theory · Physics 2011-06-07 Philippe Brax , Clare Burrage , Anne-Christine Davis , David Seery , Amanda Weltman

We discuss gauge coupling unification in models with additional 1 to 4 complete vector-like families, and derive simple rules for masses of vector-like fermions required for exact gauge coupling unification. These mass rules and the…

High Energy Physics - Phenomenology · Physics 2013-03-27 Radovan Dermisek

We consider a chain of Abelian Klebanov-Tarnopolsky fermionic tensor models coupled through quartic nearest-neighbor interactions. We characterize the gauge-singlet spectrum for small chains ($L=2,3,4,5$) and observe that the spectral…

High Energy Physics - Theory · Physics 2018-05-08 Soumyadeep Chaudhuri , Victor I. Giraldo-Rivera , Anosh Joseph , R. Loganayagam , Junggi Yoon

A non-Abelian gauge field with a topological action is coupled to a spin 3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a Fermionic symmetry and the algebra of…

High Energy Physics - Theory · Physics 2017-11-22 D. G. C. McKeon

A long-wavelength, low-frequency effective theory is obtained from $t_1-t_2-J$ model. The action is written in terms of two-component bose spinor fields (CP^1 fields) and two spinless Fermi fields. The generalized CP^1 model is invariant…

Condensed Matter · Physics 2016-08-31 Naoum Karchev

A $(1+1)$ dimensional model where vector and axial vector interaction get mixed up with different weight is considered with a generalized masslike term for gauge field. Through Poincar\'e algebra it has been made confirm that only a Lorentz…

High Energy Physics - Theory · Physics 2016-12-20 Safia Yasmin , Anisur Rahaman

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

We devise a unitary transformation that replaces the fermionic degrees of freedom of lattice gauge theories by (hard-core) bosonic ones. The resulting theory is local and gauge invariant, with the same symmetry group. The method works in…

Quantum Physics · Physics 2018-08-17 Erez Zohar , J. Ignacio Cirac

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We…

High Energy Physics - Phenomenology · Physics 2009-07-22 Rahul Basu , Debajyoti Choudhury , H. S. Mani

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a tridiagonal matrix commuting with the entanglement…

Mathematical Physics · Physics 2021-08-25 Nicolas Crampé , Rafael I. Nepomechie , Luc Vinet

We consider constraints on gauge mediated supersymmetry breaking models imposed by the requirement of grand unification. In particular, we demonstrate several ways to reduce the number of parameters coming from the dynamical supersymmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

Entanglement in fermion many-body systems is studied using a generalized definition of separability based on partitions of the set of observables, rather than on particle tensor products. In this way, the characterizing properties of…

Quantum Physics · Physics 2014-03-20 F. Benatti , R. Floreanini , U. Marzolino

Random-lattice fermions have been shown to be free of the doubling problem if there are no interactions or interactions of a non-gauge nature. However, gauge interactions impose stringent constraints as expressed by the Ward-Takahashi…

High Energy Physics - Lattice · Physics 2014-11-17 C. J. Griffin , T. D. Kieu

The idea of quark-lepton universality at high energies has been introduced as a natural extension to the standard model. This is achieved by endowing leptons with new degrees of freedom -- leptonic colour, an analogue of the familiar quark…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alison Demaria , Catherine I. Low , Raymond R. Volkas

Threshold corrections to the running of gauge couplings are calculated for superstring models with free complex world sheet fermions. For two N=1 $SU(2)\times U(1)^5$ models, the threshold corrections lead to a small increase in the…

High Energy Physics - Theory · Physics 2014-11-18 David M. Pierce