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A general method for treating non-Gaussian wave functionals in quantum field theory is presented and applied to the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in order to include a three-gluon kernel in the exponential of…

High Energy Physics - Theory · Physics 2015-05-20 Davide R. Campagnari , Hugo Reinhardt

In this paper we propose a new version for the noncommutative superspace in 3D. This version is shown to be convenient for performing quantum calculations. In the paper, we use the theory of the chiral superfield as a prototype for possible…

High Energy Physics - Theory · Physics 2016-04-07 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

A new deterministic, numerical method to solve fermion field theories is presented. This approach is based on finding solutions $Z[J]$ to the lattice functional equations for field theories in the presence of an external source $J$. Using…

High Energy Physics - Theory · Physics 2009-10-28 John W. Lawson , G. S. Guralnik

Baryon Chiral Perturbation Theory combined with the $1/N_c$ expansion is implemented for three flavors. Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $\xi$-expansion, in…

Nuclear Theory · Physics 2018-03-21 Ishara P. Fernando , Jose L. Goity

The effective potential of composite fermion fields in three-dimensional Thirring model in curved spacetime is calculated in linear curvature approximation. The phase transition accompanied by the creation of non-zero chiral invariant…

High Energy Physics - Theory · Physics 2015-06-26 B. Geyer , Y. I. Shil'nov

A path integral formalism for multispecies anyons is introduced, whereby partition functions are expressed in terms of generating functions of winding number probability distributions. In a certain approximation, the equation of state for…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefan Mashkevich , Jan Myrheim , Kaare Olaussen

We study the Abelian Thirring Model when the fermionic fields have non-conserved chiral charge: $\Delta {\cal Q}_5 =N$. One of the main features we find for this model is the dependence of the Virasoro central charge on both the Thirring…

High Energy Physics - Theory · Physics 2009-10-22 D. C. Cabra , E. F. Moreno , C. M. Naón

From spinor and scalar 2+1 dimensional QED effective actions at finite temperature and density in a constant magnetic field background, we calculate the corresponding virial coefficients for particles in the lowest Landau level. These…

High Energy Physics - Theory · Physics 2009-11-07 P. F. Borges , H. Boschi-Filho , Marcelo Hott

We compare several methods for computing disconnected fermion loops contributing to nucleon three-point functions. The comparison is carried out using one ensemble of $N_f=2+1+1$ twisted mass fermions with pion mass of 373 MeV. The complete…

High Energy Physics - Lattice · Physics 2014-01-28 Constantia Alexandrou , Vincent Drach , Karl Jansen , Giannis Koutsou , Alejandro Vaquero

Instead of solving Dirac (or Klein-Gordon) equation for a many body system, in this paper a variational method has been used to investigate the properties of two dimensional (2D) strongly interacting fermions and the results have been…

Strongly Correlated Electrons · Physics 2019-02-28 H. Salehi , M. Mohammadi Sabet , S. Mizani

The second virial coefficient for non-Abelian Chern-Simons particles is recalculated. It is shown that the result is periodic in the flux parameter just as in the Abelian theory.

High Energy Physics - Theory · Physics 2009-10-28 C. R. Hagen

We present the latest results from the UKQCD/RBC collaborations for the K_{l3} form factor with 2+1 flavours of dynamical domain wall quarks. Simulations are performed on 16^3x32x16 and 24^3x64x16 lattices with three values of the light…

High Energy Physics - Lattice · Physics 2009-10-09 D. J. Antonio , P. A. Boyle , C. Dawson , T. Izubuchi , A. Jüttner , C. Sachrajda , S. Sasaki , A. Soni , R. J. Tweedie , J. M. Zanotti

We analyze the finite temperature chiral restoration transition of the $(D=d+1)$-dimensional Gross-Neveu model for the case of a large number of flavors and fixed total fermion number. This leads to the study of the model with a nonzero…

High Energy Physics - Theory · Physics 2009-10-31 F. S. Nogueira , M. B. Silva Neto , N. F. Svaiter

We present the latest results from the UKQCD/RBC collaborations for the K_l3 form factor with 2+1 flavours of dynamical domain wall quarks. Simulations are performed on 16^3x32x16 and 24^3x64x16 lattices with three values of the light quark…

High Energy Physics - Lattice · Physics 2007-05-23 D. J. Antonio , P. A. Boyle , C. Dawson , T. Izubuchi , A. Jüttner , C. Sachrajda , S. Sasaki , A. Soni , R. J. Tweedie , J. M. Zanotti

We have extended the perturbative expansion method around the Gaussian effective action to the fermionic field theory, by taking the 2-dimensional Gross-Neveu model as an example. We have computed both the zero temperature and the finite…

High Energy Physics - Theory · Physics 2016-08-25 Geon Hyoung Lee , Tack Hwi Lee , Jae Hyung Yee

The SU(3) beta function is computed from Wilson loops to 20th order numerical stochastic perturbation theory. An attempt is made to include massless fermions, whose contribution is known analytically to 4th order. The question whether the…

High Energy Physics - Lattice · Physics 2015-06-17 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We calculate the self-energy of fermions in Landau level n, in a finite field. Two cases are considered, in which fermions couple either to gauge fluctuations (as in the composite fermion gauge theory) or to phonons, as an example of a…

Condensed Matter · Physics 2009-10-28 S. Curnoe , P. C. E. Stamp

Non-compact QED3 is simulated both in the quenched and unquenched cases. In particular, we investigate the restoration of chiral symmetry at finite temperature. We also compute the zero temperature spectrum of the theory, including (in the…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Kogut , J. -F. Lagae

We map out the interaction effects on the first six virial coefficients of one-dimensional Fermi gases with zero-range attractive and repulsive interactions, and the first four virial coefficients of the two-dimensional analog with…

Quantum Gases · Physics 2018-11-21 C. R. Shill , J. E. Drut

We define chiral fermions in the presence of non-trivial gravitational and gauge background fields in the framework of locally covariant field theory. This allows to straightforwardly compute the chiral anomalies on non-compact Lorentzian…

High Energy Physics - Theory · Physics 2015-01-09 Jochen Zahn