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Related papers: Kink fluctuation asymptotics and zero modes

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Analysis is given of the changes of dislocation motion modes with stress and temperature variation. Different regimes of dislocation kink pair formation and spreading (motion in the random potential, in the field of random forces, the…

Materials Science · Physics 2007-05-23 Yu. L. Iunin , V. I. Nikitenko

A systematic treatment of the magnetic fluctuations effect on the properties of the normal-to-superconducting phase transition in a zero external magnetic field is given within the self-consistent approximation and the quasi-macroscopic…

Superconductivity · Physics 2007-05-23 D. V. Shopova , T. P. Todorov

We propose an effective field theory describing the time dependent fluctuations of electrons in conducting systems, generalizing the well known kinetic theory of fluctuations. On several examples, we show its equivalence, (when quantum…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , A. D. Mirlin , Yuval Gefen

In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional…

Pattern Formation and Solitons · Physics 2024-10-17 Vakhid A. Gani , Aliakbar Moradi Marjaneh

An asymptotic expansion of the trace of the heat kernel on a cone where the heat coefficients have a delta function behavior at the apex is obtained. It is used to derive the renormalized effective action and total energy of a…

High Energy Physics - Theory · Physics 2010-04-06 D. V. Fursaev

We experimentally verify the Jarzynski and W\"ojcik quantum heat exchange fluctuation relation by implementing the interferometric technique in liquid-state Nuclear Magnetic Resonance setup and study the exchange heat statistics between two…

Statistical Mechanics · Physics 2019-10-30 Soham Pal , T S Mahesh , Bijay Kumar Agarwalla

We study quantum Ising spins placed on small-world networks. A simple model is considered in which the coupling between any given pair of spins is a nonzero constant if they are linked in the small-world network and zero otherwise. By…

Statistical Mechanics · Physics 2014-08-26 Hangmo Yi , Mahn-Soo Choi

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione

The reheating stage in post-inflationary cosmologies is reanalyzed. New techniques from non-equilibrium quantum field theory allow a consistent derivation of the equation of motion including the non-linearity of the dynamics. These offer a…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. Boyanovsky , M. D'attanasio , H. J. de Vega , R. Holman , D. S. Lee

We consider the heat kernel (and the zeta function) associated with Laplace type operators acting on a general irreducible rank 1 locally symmetric space X. The set of Minakshisundaram- Pleijel coefficients {A_k(X)}_{k=0}^{\infty} in the…

Spectral Theory · Mathematics 2009-10-31 A. A. Bytsenko , F. L. Williams

We compute thermal and quantum fluctuations in the background of a domain wall in a scalar field theory at finite temperature using the exact scalar propagator in the subspace orthogonal to the wall's translational mode. The propagator…

High Energy Physics - Phenomenology · Physics 2014-11-17 Carlos A. A. de Carvalho

Asymptotic expansions were first introduced by Henri Poincare in 1886. This paper describes their application to the semi-classical evaluation of amplitudes in quantum field theory with boundaries. By using zeta-function regularization, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito

We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming…

High Energy Physics - Theory · Physics 2021-01-01 Petr A. Blinov , Tatiana V. Gani , Vakhid A. Gani

Because of the broken time-translation symmetry, in periodically driven vibrational systems fluctuations of different vibration components have different intensities. Fluctuations of one of the components are often squeezed, whereas…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 J. S. Huber , G. Rastelli , M. J. Seitner , J. Kölbl , W. Belzig , M. I. Dykman , E. M. Weig

The recently measured cutoff, k_min=[4.34(+/-)0.50]/r_cmb (with r_cmb the comoving distance to the last scattering surface), in the fluctuation spectrum of the cosmic microwave background, appears to disfavor slow-roll inflation and the…

General Relativity and Quantum Cosmology · Physics 2019-06-03 Fulvio Melia

We study the effects of random fluctuations on quantum phase transitions by the energy gap analysis. For the infinite-ranged spin-glass models with a transverse field, we find that a strong sample-to-sample fluctuation effect leads to broad…

Disordered Systems and Neural Networks · Physics 2010-04-13 Kazutaka Takahashi , Yoshiki Matsuda

In this paper some techniques useful to perform quantum field theory computations in a covariant manner are reviewed. In particular the background field gauge, the zeta function regularization and the heat kernel approach are highlighted.…

High Energy Physics - Theory · Physics 2022-04-21 Enrique Alvarez , Jesus Anero

The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action. The aim of this report is to collect useful information on the heat kernel coefficients…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Vassilevich

We revisit the issue on signatures of pre-inflationary background anisotropy by considering the quantization of a massless and minimally coupled scalar field in an axially symmetric Kasner background, mimicking cosmological perturbations.…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Hyeong-Chan Kim , Masato Minamitsuji

Fractals define a new and interesting realm for a discussion of basic phenomena in quantum field theory and statistical mechanics. This interest results from specific properties of fractals, e.g., their dilatation symmetry and the…

Statistical Mechanics · Physics 2012-10-26 Eric Akkermans