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When studying the collective motion of biological groups a useful theoretical framework is that of ferromagnetic systems, in which the alignment interactions are a surrogate of the effective imitation among the individuals. In this context,…

Statistical Mechanics · Physics 2023-01-13 Andrea Cavagna , Antonio Culla , Tomás S. Grigera

This article analyses the simple projection method proposed by Izuchukwu et al. [8, Algorithm 3.2] for solving variational inequality problems by incorporating momentum terms. A new step size strategy is also introduced, in which the step…

Optimization and Control · Mathematics 2025-05-12 Gourav Kumar , Santanu Soe , V. Vetrivel

One-loop mass shifts to the classical masses of stable kinks arising in a massive non-linear ${\mathbb S}^2$-sigma model are computed. Ultraviolet divergences are controlled using the heat kernel/zeta function regularization method. A…

High Energy Physics - Theory · Physics 2015-05-13 A. Alonso Izquierdo , M. A. Gonzalez Leon , J. Mateos Guilarte , M. J. Senosiain

Concerning renormalisation group theory applied to phase transitions, we examine the value of positive numerical and analytical evidence, the divergent short-wavelength behaviour of classical free fields and the absence of UV-divergences in…

Statistical Mechanics · Physics 2007-05-23 Reinhold Brueckner

We propose an easily implemented approach to study time-dependent correlation functions of one dimensional systems at finite temperature T using the density matrix renormalization group. The entanglement growth inherent to any…

Strongly Correlated Electrons · Physics 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

The use of the dimensional regularization in the on-mass-shell renormalization scheme sometimes fails to locally cancel the ultraviolet divergence for a class of diagrams in the two-loop order. The mechanism is discussed based on an example…

High Energy Physics - Phenomenology · Physics 2024-03-19 Kiyoshi Kato

We present an approximation scheme of the nonperturbative renormalization group that preserves the momentum dependence of correlation functions. This approximation scheme can be seen as a simple improvement of the local potential…

Statistical Mechanics · Physics 2018-05-24 Félix Rose , Nicolas Dupuis

The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which makes them…

High Energy Physics - Phenomenology · Physics 2018-06-11 Tommi Markkanen , Sami Nurmi , Arttu Rajantie , Stephen Stopyra

We will focus on estimating the integrated covariance of two diffusion processes observed in a nonsynchronous manner. The observation data is contaminated by some noise, which is possibly correlated with the returns of the diffusion…

Statistics Theory · Mathematics 2013-05-07 Yuta Koike

We perform the dimensional reduction of the linear $\sigma$ model at one-loop level. The effective potential of the reduced theory obtained from the integration over the nonzero Matsubara frequencies is exhibited. Thermal mass and coupling…

High Energy Physics - Theory · Physics 2015-06-26 A. P. C. Malbouisson , M. B. Silva-Neto , N. F. Svaiter

Some quantum mechanical potentials, singular at short distances, lead to ultraviolet divergences when used in perturbation theory. Exactly as in quantum field theories, but much simpler, regularization and renormalization lead to finite…

High Energy Physics - Theory · Physics 2009-10-22 Cristina Manuel , Rolf Tarrach

We examine the renormalizability problem of spontaneously broken non-Abelian gauge theory on noncommutative spacetime. We show by an explicit analysis of the U(2) case that ultraviolet divergences can be removed at one loop level with the…

High Energy Physics - Theory · Physics 2010-02-03 Yi Liao

We study the short distance (large momentum) properties of correlation functions of cascading gauge theories by performing a tree-level computation in their dual gravitational background. We prove that these theories are holographically…

High Energy Physics - Theory · Physics 2009-11-11 Ofer Aharony , Alex Buchel , Amos Yarom

Following a series of similar calculations in simpler non-conformal holographic setups, we determine the quasinormal mode spectrum for an operator dual to a gauge-invariant scalar field within the Improved Holographic QCD framework. At…

High Energy Physics - Phenomenology · Physics 2020-06-04 Timo Alho , Jere Remes , Kimmo Tuominen , Aleksi Vuorinen

We reconsider the renormalization of scalar mass and point out that the quantum correction to the physical observable, as opposed to the bare parameter, of a renormalizable operator, is technically insensitive to ultraviolet physics and…

High Energy Physics - Phenomenology · Physics 2024-11-22 Kang-Sin Choi

We study the correlation functions of local operators in unitary $\textrm{T}\bar{\textrm{T}}$-deformed field theories, using their formulation in terms of Jackiw-Teitelboim gravity. The position of the operators is defined using the…

High Energy Physics - Theory · Physics 2024-12-05 Ofer Aharony , Netanel Barel

In finite-temperature field theory, the cyclic Wilson loop is defined as a rectangular Wilson loop spanning the whole compactified time direction. In a generic non-abelian gauge theory, we calculate the perturbative expansion of the cyclic…

High Energy Physics - Theory · Physics 2013-03-15 Matthias Berwein , Nora Brambilla , Jacopo Ghiglieri , Antonio Vairo

Whole atmosphere seeing \beta_0 is the most important parameter in site testing measurements. Estimation of the seeing from a variance of differential image motion is always biased by a non-zero DIMM exposure, which results in a wind…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 V. Kornilov , B. Safonov

We propose a mass-dependent MOM scheme to renormalize UV divergence of unpolarized PDFs at one-loop order. This approach which is based on a once subtracted dispersion relation does not need any regulator. The overall counterterms are…

High Energy Physics - Phenomenology · Physics 2021-03-31 Ahmad Jamali Hafshejani , Abolfazl Mirjalili

Correlation functions in the restricted primitive model are calculated within a field-theoretic approach in the one-loop self-consistent Hartree approximation. The correlation functions exhibit damped oscillatory behavior as found before in…

Soft Condensed Matter · Physics 2009-11-11 O. Patsahan , A. Ciach