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We study in random-phase approximation the newly discovered supersolid phase of ${}^4$He and present in detail its finite temperature properties. ${}^4$He is described within a hard-core quantum lattice gas model, with nearest and…

Other Condensed Matter · Physics 2015-05-14 A. J. Stoffel , M. Gulacsi

We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar $\phi^4$ model with an additional oscillator potential. This model is known to…

High Energy Physics - Theory · Physics 2008-11-26 Michael Wohlgenannt

We evaluate the energy splitting of vacua appearing in the gauge theory in the space $M_4\times S^N/Z_2$ ($N=2,3,4,5,6$ and $7$). One-loop quantum effects which come from scalar and gauge fields are considered. We calculate them at zero…

High Energy Physics - Theory · Physics 2014-08-26 Kiyoshi Shiraishi

The optimized effective potential method is formulated as a convex minimization problem. This formulation does not require assumptions about $v$-representability nor functional differentiability. The formulation provides a natural framework…

Chemical Physics · Physics 2022-02-01 Erik I. Tellgren , Andre Laestadius , Markus Penz

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external…

High Energy Physics - Theory · Physics 2009-10-31 Igor A. Shovkovy

We discuss the concept and design of effective atom-atom potentials that accurately describe any physical processes involving only states around the threshold. The existence of such potentials gives hope to a quantitative, and systematic,…

Atomic Physics · Physics 2009-11-07 Bo Gao

A procedure is proposed to study QFT at zero or at finite temperature by a sequence of real space renormalization group (RG) or blockspin transformations. They transform to effective theories on coarser and coarser lattices.The ultimate aim…

High Energy Physics - Lattice · Physics 2007-05-23 U. Kerres

An efficient numerical quadrature is proposed for the approximate calculation of the potential energy in the context of pseudo potential electronic structure calculations with Daubechies wavelet and scaling function basis sets. Our…

Computational Physics · Physics 2009-11-11 A. I. Neelov , S. Goedecker

We discuss nonperturbative contributions to the 3-dimensional one-loop effective potential of the electroweak theory at high temperatures in the framework of the stochastic vacuum model. It assumes a gauge-field background with Gaussian…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. J. Huber , A. Laser , M. Reuter , M. G. Schmidt

We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

In this paper, with the corresponding formula for internal energy obtained in Ref. [J. Phys. Stud. {\bf 11}, 259 (2007)], combined with a simple calculation of the effective mass of interacting Bose particles, the behavior of the heat…

Quantum Gases · Physics 2011-10-19 I. O. Vakarchuk , V. S. Pastukhov , R. O. Prytula

We consider the statistical mechanics of a classical particle in a one-dimensional box subjected to a random potential which constitutes a Wiener process on the coordinate axis. The distribution of the free energy and all correlation…

Condensed Matter · Physics 2009-10-28 Kurt Broderix , Reiner Kree

Finite-volume pionless effective field theory provides an efficient framework for the extrapolation of nuclear spectra and matrix elements calculated at finite volume in lattice QCD to infinite volume, and to nuclei with larger atomic…

Nuclear Theory · Physics 2022-02-28 Xiangkai Sun , William Detmold , Di Luo , Phiala E. Shanahan

The QED effective Lagrangian in the presence of an arbitrary constant electromagnetic background field at finite temperature is derived in the imaginary-time formalism to one-loop order. The boundary conditions in imaginary time reduce the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

We have attempted an approach to the chiral phase transition of QCD using the linear sigma model as an effective theory. In order to get some insight into how the phase transition could proceed, we have calculated the finite temperature…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

The process of equilibration in phi^4 theory is investigated for a homogeneous system in 3+1 dimensions and a variety of out-of-equilibrium initial conditions, both in the symmetric and broken phase, by means of the 2PI effective action.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alejandro Arrizabalaga , Jan Smit , Anders Tranberg

We calculate the effective action in Yang-Mills and scalar \phi^4 quantum field theory with quantized scale invariant metric treated non-perturbatively in d=4 dimensions. There is no charge renormalization in the one-loop order for matter…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

We discuss the vacuum structure of $\phi^4$-theory in 1+1 dimensions quantised on the light-front $x^+ =0$. To this end, one has to solve a non-linear, operator-valued constraint equation. It expresses that mode of the field operator having…

High Energy Physics - Theory · Physics 2009-10-28 T. Heinzl , C. Stern , E. Werner , B. Zellermann

An indication of spontaneous symmetry breaking is found in the two-dimensional $\lambda\phi^4$ model, where attention is paid to the functional form of an effective action. An effective energy, which is an effective action for a static…

High Energy Physics - Theory · Physics 2009-10-30 Takanori Sugihara

In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic…

High Energy Physics - Theory · Physics 2009-10-22 R. Floreanini , R. Percacci