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We compute the finite temperature induced fermion number for fermions coupled to a static nonlinear sigma model background in (2+1) dimensions, in the derivative expansion limit. While the zero temperature induced fermion number is well…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Justo Lopez-Sarrion , Kumar Rao

We show that while the zero temperature induced fermion number in a chiral sigma model background depends only on the asymptotic values of the chiral field, at finite temperature the induced fermion number depends also on the detailed shape…

High Energy Physics - Theory · Physics 2009-10-31 I. J. R. Aitchison , G. V. Dunne

We analyze the phemomenon of induced fermion number at finite temperature. At finite temperature, the induced fermion number $<N>$ is a thermal expectation value, and we compute the finite temperature fluctuations, $(\Delta…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Kumar Rao

We study again the phenomenon of charge fractionalization at finite temperature. Our calculations are done in a framework in which the connection between the induced fermion number and the chiral anomaly is manifest. We find that the…

High Energy Physics - Theory · Physics 2012-01-30 Yeong-Chuan Kao , Ming-Chiun Wu

The induced fractional fermion number at zero temperature is topological (in the sense that it is only sensitive to global asymptotic properties of the background field), and is a sharp observable (in the sense that it has vanishing rms…

High Energy Physics - Theory · Physics 2015-06-26 Gerald V. Dunne

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the…

High Energy Physics - Theory · Physics 2009-11-07 L. L. Salcedo

The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of…

High Energy Physics - Theory · Physics 2011-02-09 Ivo Sachs , Andreas Wipf

The $N_f$-flavour Schwinger Model on a finite space $0\leq x^1\leq L$ and subject to bag-type boundary-conditions at $x^1=0$ und $x^1=L$ is solved at finite temperature $T=1/\beta$. The boundary conditions depend on a real parameter…

High Energy Physics - Theory · Physics 2016-09-06 Stephan Dürr , Andreas Wipf

We give an interpretation to the issue of the chiral determinant in the heat-kernel approach. The extra dimension (5-th dimension) is interpreted as (inverse) temperature. The 1+4 dim Dirac equation is naturally derived by the Wick rotation…

High Energy Physics - Theory · Physics 2009-10-31 Shoichi Ichinose

We discuss the non-conservation of fermion number (or chirality breaking, depending on the fermionic charge assignment) in Abelian gauge theories at finite temperature. We study different mechanisms of fermionic charge disappearance in the…

High Energy Physics - Phenomenology · Physics 2020-08-18 Daniel G. Figueroa , Mikhail Shaposhnikov

The phenomenon of the finite-temperature induced quantum numbers in fermionic systems with topological defects is analyzed. We consider an ideal gas of twodimensional relativistic massive electrons in the background of a defect in the form…

High Energy Physics - Theory · Physics 2009-11-10 Yurii A. Sitenko , Volodymyr M. Gorkavenko

We report preliminary results on the finite temperature behavior of SU(4) gauge theory with dynamical quarks in both the fundamental and two-index antisymmetric representations. This system is a candidate to present scale separation…

High Energy Physics - Lattice · Physics 2018-04-18 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

The critical temperature and the nature of the QCD finite temperature phase transition are determined for Nf=2 dynamical flavors of nonperturbatively improved Wilson fermions. The calculations are performed on large lattices with temporal…

High Energy Physics - Lattice · Physics 2014-11-20 V. G. Bornyakov , R. Horsley , S. M. Morozov , Y. Nakamura , M. I. Polikarpov , P. E. L. Rakow , G. Schierholz , T. Suzuki

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 introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving…

High Energy Physics - Theory · Physics 2011-07-19 M. De Francia , H. Falomir , M. Loewe

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 use chiral perturbation theory for SU(2) to compute the leading corrections to the thermal mass of the pions and the pion decay constant in the presence of the magnetic field in a low-temperature expansion. The magnetic field gives rise…

High Energy Physics - Phenomenology · Physics 2012-08-02 Jens O. Andersen

We analyze the finite temperature phase diagram of QCD with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions, which is equivalent to two Dirac fermions, show that the deconfinement and…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , M. Lütgemeier

With the use of the path integral formalism for finite-temperature field theory, I find the persisting vector and axial currents that are generated in quantum chiral fermionic systems. The role of the explicit violation of chiral symmetry…

High Energy Physics - Theory · Physics 2023-03-06 Yurii A. Sitenko

We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the…

High Energy Physics - Theory · Physics 2009-10-30 Daniel Cangemi , Gerald Dunne
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