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We introduce a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep requires the minimization of a functional measuring the…

Analysis of PDEs · Mathematics 2018-10-01 Fabio Cavalletti , Marc Sedjro , Michael Westdickenberg

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

This paper introduces an axiomatic basis for measuring the energy characteristic of vibrating dynamical systems. The basic approach is to compare non-modulated vs. modulated waveforms in measuring energy during the vibratory motion $m(t)$…

General Physics · Physics 2024-10-30 Enze Cui , James F. Peters

We examine the one-loop vacuum structure of an effective theory of gaugino condensation coupled to the dilaton for string models in which the gauge coupling constant does not receive string threshold corrections. The new ingredients in our…

High Energy Physics - Theory · Physics 2016-08-24 Rulin Xiu

We study the evolution of biased domain walls in the early universe. We explicitly discuss the roles played by the surface tension and volume pressure in the evolution of the walls, and quantify their effects by looking at the collapse of…

Astrophysics · Physics 2008-11-26 P. P. Avelino , C. J. A. P. Martins , L. Sousa

We derive the moduli dependence of the one--loop gauge couplings for non--vanishing gauge background fields in a four--dimensional heterotic (0,2) string compactification. Remarkably, these functions turn out to have a representation as…

High Energy Physics - Theory · Physics 2016-09-06 P. Mayr , S. Stieberger

The quantum properties of solitons at one loop can be related to phase shifts of waves on the soliton background. These can be combined with heat kernel methods to calculate various parameters. The vacuum energy of a CP(1) soliton in 2+1…

High Energy Physics - Theory · Physics 2009-10-31 Ian G. Moss

The vacuum energy is calculated for Yang-Mills (YM) system defined in $D$ dimensional space-time of $S^1\times R^d$ ($D=d+1$), where the possibility of the YM fields to acquire the vacuum expectation values on $S^1$ is taken into account.…

High Energy Physics - Theory · Physics 2018-03-05 Kiyoshi Shiraishi , Satoru Hirenzaki

We discuss an exact false vacuum decay rate at one loop for a real and complex scalar field in a quartic-quartic potential with two tree-level minima. The bounce solution is used to compute the functional determinant from both fluctuations.…

High Energy Physics - Theory · Physics 2020-12-10 Victor Guada , Miha Nemevšek

We study quantum corrections to the scalar potential in classically scale invariant theories, using a manifestly scale invariant regularization. To this purpose, the subtraction scale $\mu$ of the dimensional regularization is generated…

High Energy Physics - Phenomenology · Physics 2016-05-19 D. M. Ghilencea

In this work we consider determination of the basic Planck units (mass, length and charge) using two dynamical principles. First one is definition of the (reduced) Compton length of the physical system (which, as it is well-known, can be…

General Physics · Physics 2021-05-26 Vladan Pankovic

We report a three parameter family of solutions for dilaton gravity in 2+1 dimensions with finite mass and finite angular momentum. These solutions are obtained by a compactification of vacuum solutions in 3+1 dimensions with cylindrical…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Sharmanthie Fernando

First-order `Bogomol'nyi' equations are found for dilaton domain walls of D-dimensional gravity with the general dilaton potential admitting a stable anti-de Sitter vacuum. Implications for renormalization group flow in the holographically…

High Energy Physics - Theory · Physics 2009-10-31 Kostas Skenderis , Paul K. Townsend

We propose multiloop vacuum amplitudes as the optimal building blocks for efficiently assembling theoretical predictions at high-energy colliders. This hypothesis is strongly supported by the manifestly causal properties of the loop-tree…

High Energy Physics - Phenomenology · Physics 2024-12-06 Selomit Ramírez-Uribe , Prasanna K. Dhani , German F. R. Sborlini , Germán Rodrigo

Floating potential structures that are correlated over a long distance are observed with a 2D probe array in the plasma edge of the TJ-II stellarator. We introduce a method based on the Singular Value Decomposition to extract the…

Plasma Physics · Physics 2012-09-17 J. A. Alonso , C. Hidalgo , M. A. Pedrosa , B. Van Milligen , D. Carralero , C. Silva

The approach to the calculation of quantum dynamical correlation functions is presented in the framework of the Mori theory. An unified treatment of classic and quantum dynamics is given in terms of Weyl representation of operators and…

Statistical Mechanics · Physics 2009-10-31 R. Giachetti , R. Maciocco , V. Tognetti

In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

We show that the usual dilaton dominance scenario, derived from the tree level K\"ahler potential, can never correspond to a global minimum of the potential at $V=0$. Similarly, it cannot correspond to a local minimum either, unless a…

High Energy Physics - Theory · Physics 2009-10-30 J. A. Casas

We study a string-inspired dilaton cosmology in the Damour--Polyakov (DP) regime using dynamical-systems methods, aiming to make explicit how cosmological relaxation controls deviations from the equivalence principle. Working in the…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-09 A. M. Velásquez-Toribio

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an…

Fluid Dynamics · Physics 2016-04-27 Matthieu Labousse , Anand U. Oza , Stéhane Perrard , John W. M. Bush
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