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Using a regularization by putting the system in finite volume, we develop a novel approach to form factor perturbation theory for nonintegrable models described as perturbations of integrable ones. This permits to go beyond first order in…

High Energy Physics - Theory · Physics 2009-11-09 G. Takacs

The technique of extended dualization developed in this paper is used to bosonize quantized fermion systems in arbitrary dimension $D$ in the low energy regime. In its original (minimal) form, dualization is restricted to models wherein it…

High Energy Physics - Theory · Physics 2011-07-19 José Luis Cortés , Elena Rivas , Luis Velázquez

An extension of dimensional regularization to the case of compact dimensions is presented. The procedure preserves the Kaluza-Klein tower structure, but has a regulator specific to the compact dimension. Possible 5 and 4 dimensional…

High Energy Physics - Theory · Physics 2011-10-11 S. Groot Nibbelink

We study the impact factor for the photon to quark, antiquark and gluon transition within Balitsky's shock-wave formalism. Our aim is to extend existing results beyond approximations discussed in the literature. We present our results of…

High Energy Physics - Phenomenology · Physics 2015-12-03 R. Boussarie , A. Grabovsky , L. Szymanowski , S. Wallon

The mass estimate of the $d^* (IJ^P=03^+)$ dibaryon is improved by a dynamical calculation in the quark delocalization, color screening model. The partial decay width of $d^*$ into an $NN$ D-wave state is also obtained. The mass obtained is…

Nuclear Theory · Physics 2008-11-26 Jialun Ping , Fan Wang , T. Goldman

The goal of this paper is to extend to higher dimensionality the methods and computations of vacuum polarization effects in black hole spacetimes. We focus our attention on the case of five dimensional Schwarzschild-Tangherlini black holes,…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Antonino Flachi , Gonçalo M. Quinta , José P. S. Lemos

Angular integrals arise in a wide range of perturbative quantum field theory calculations. In this work we investigate angular integrals with three denominators in $d=4-2\varepsilon$ dimensions. We derive integration-by-parts relations for…

High Energy Physics - Phenomenology · Physics 2025-10-17 Juliane Haug , Fabian Wunder

In order to quantize systems involving second-class constraints, one should use Dirac bracket instead of Poisson bracket. Furthermore, one can specify a star product in which the term linear in $\hbar$ is proportional to the Dirac bracket.…

Mathematical Physics · Physics 2026-03-25 Bing-Sheng Lin , Tai-Hua Heng

The semi-inclusive decay processes of a top quark into a charged pseudo-scalar meson and a jet are studied within the framework of QCD factorization. The leading power of the decay matrix elements can be factorized into heavy-to-light quark…

High Energy Physics - Phenomenology · Physics 2025-04-02 Long-Shun Lu , Lei-Yi Li , Cai-Dian Lü

QCD corrections to the electron positron annihilation cross-section into hadrons and to the hadronic $Z$ boson decay rate are reviewed. Formal developments are introduced in a form particularly suited for practical applications. These…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. G. Chetyrkin , J. H. Kühn , A. Kwiatkowski

In the first part of this paper, we extend the d-dimensional unitarity cut method of hep-ph/0609191 to cases with massive propagators. We present formulas for integral reduction with which one can obtain coefficients of all pentagon, box,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ruth Britto , Bo Feng

We present new results for the phase space factors involved in double beta decay for beta-beta- transitions to ground states and excited 0+1 states, for isotopes of experimental interest. The Coulomb distortion of the electron wave…

Nuclear Theory · Physics 2015-06-16 Sabin Stoica , Mihail Mirea

We compare a momentum space implicit regularisation (IR) framework with other renormalisation methods which may be applied to dimension specific theories, namely Differential Renormalisation (DfR) and the BPHZ formalism. In particular, we…

High Energy Physics - Theory · Physics 2013-05-29 M. Sampaio , A. P. Baeta Scarpelli , B. Hiller , A. Brizola , M. C. Nemes , S. Gobira

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

We apply the method of regions to the evaluation of dual conformal integrals with small off-shellness. In contrast to conventional approach, where the separation of regions is performed via dimensional regularization breaking the dual…

High Energy Physics - Theory · Physics 2025-09-23 Leonid V. Bork , Roman N. Lee , Andrei I. Onishchenko

Real Space Renormalization Group (RSRG) techniques and their applications, mainly to quantum mechanics and to partial differential equations, are discussed. Special emphasis is given to the theoretical insight and the reasons for the…

Statistical Mechanics · Physics 2007-05-23 Javier Rodriguez-Laguna

Schwinger-Dyson equations are used to study the phase diagram of QED in three dimensions. This computation is made with full frequency-dependence in the two-point function gap equations for the first time. We also demonstrate that reliable…

High Energy Physics - Phenomenology · Physics 2014-02-05 P. M. Lo , E. S. Swanson

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is…

patt-sol · Physics 2009-10-30 Shin-ichi Sasa

The assumption of spherical symmetry is not justified for the vast majority of PNe. The interpretation of spatially-resolved observations cannot rely solely on the application of 1D codes, which may yield incorrect abundances determinations…

Astrophysics · Physics 2009-11-11 B. Ercolano , M. J. Barlow , P. J. Storey

We review the application and successes of a phase-space coalescence plus fragmentation model that has been applied for hadronization at RHIC. The physical concept is discussed together with the practical implementation. The robustness of…

Nuclear Theory · Physics 2008-11-26 V. Greco