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Two very different problems that can be studied by renormalization group methods are discussed with the aim of showing the conceptual unity that renormalization group has introduced in some areas of theoretical Physics. The two problems…

Statistical Mechanics · Physics 2008-02-26 Giovanni Gallavotti

An exactly solvable model for a description of the two-neutrino double beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double beta decay matrix element on the…

Nuclear Theory · Physics 2015-06-16 Dusan Stefanik , Fedor Simkovic , Kazuo Muto , Amand Faessler

In a previous paper, the convergence of the effective field theory approach of Furnstahl, Serot and Tang to the nuclear many-body problem was studied by applying it to selected doubly-magic, and neighboring single-particle and single-hole,…

Nuclear Theory · Physics 2007-05-23 M. A. Huertas

Only phase space is typically used to obtain final state particle spectra in rare decay searches, which is a crude approximation in the case of three body processes. We will demonstrate how both dynamics and phase space can be approximately…

High Energy Physics - Phenomenology · Physics 2014-05-14 Mu-Chun Chen , Volodymyr Takhistov

The past decade has witnessed tremendous progress in the theoretical and computational tools that produce our understanding of nuclei. A number of microscopic calculations of nuclear electroweak structure and reactions have successfully…

Nuclear Theory · Physics 2018-03-14 Saori Pastore

The traditional Fermi function ansatz for nuclear beta decay describes enhanced perturbative effects in the limit of large nuclear charge $Z$ and/or small electron velocity $\beta$. We define and compute the quantum field theory object that…

High Energy Physics - Phenomenology · Physics 2025-08-19 Peter Vander Griend , Zehua Cao , Richard Hill , Ryan Plestid

We postulate that the Fermi function should be derived from the amplitude, not from the solution of the Dirac equation, in the quantum field theory. Then, we obtain the following results. 1, We give the amplitude and the width of the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Akihiro Matsuzaki , Hidekazu Tanaka

For well over half a century, precision studies of neutron and nuclear $\beta$ decays have been at the forefront of searches for exotic electroweak physics. Recent advances in nuclear ab initio theory and the widespread use of effective…

Nuclear Theory · Physics 2025-01-28 Leendert Hayen

I give a short review of our present understanding of new theories of the electroweak scale, with emphasis on recent progress. Plenary talk at the EPS 2007 Conference at Manchester.

High Energy Physics - Phenomenology · Physics 2008-11-26 G. F. Giudice

This article provides a brief review of how various spectroscopies have been used to investitage many-body quantum phenomena in the context of ultracold Fermi gases. In particular, work done with RF spectroscopy, Bragg spectroscopy and…

Quantum Gases · Physics 2016-04-20 Paivi Torma

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We…

High Energy Physics - Phenomenology · Physics 2009-07-22 Rahul Basu , Debajyoti Choudhury , H. S. Mani

These lectures describe why one believes there is physics beyond the Standard Model and review the expectations of three alternative explanations for the Fermi scale. After examining constraints and hints for beyond the Standard Model…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Peccei

We review, in a historical perspective, developments in physics which led to the emergence of unifying ideas and theories. Some attention is paid to the theoretical programme that started in the second decade of the XXth century and whose…

History and Philosophy of Physics · Physics 2010-07-16 Orfeu Bertolami

Pioneering study of Gamow-Teller (GT) and Fermi matrix elements (MEs) using no-core-configuration-interaction formalism rooted in multi-reference density functional theory is presented. After successful test performed for 6He -> 6Li…

Nuclear Theory · Physics 2016-04-13 M. Konieczka , P. Baczyk , W. Satula

Unification of gravity and electromagnetism based on a theory with an affine non-symmetric connection $\Gamma^\lambda_{\mu\nu} \neq \Gamma^\lambda_{\nu\mu}$ and $\Gamma_\mu = \Gamma^\lambda_{[\mu\lambda]}\neq 0$, proposed by S. N. Bose in…

General Relativity and Quantum Cosmology · Physics 2018-08-30 Partha Ghose

This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas -- the Gaudin-Yang model -- and its generalisations…

Quantum Gases · Physics 2013-12-02 Xi-Wen Guan , Murray T. Batchelor , Chaohong Lee

Strongly interacting Fermi gasses at low density possess universal thermodynamic properties which have recently seen very precise $PVT$ measurements by a group at MIT. This group determined local thermodynamic properties of a system of…

Quantum Gases · Physics 2015-11-30 George Ruppeiner

Universality of the weak interactions is reviewed, with special emphasis on the origin of the Cabibbo theory of strange particles beta-decays and its role in the discovery of the unified Electroweak Theory. Achievements and present…

High Energy Physics - Phenomenology · Physics 2013-04-08 Luciano Maiani

We review the status of the Standard Model theory of neutron beta decay. Particular emphasis is put on the recent developments in the electroweak radiative corrections. Given that some existing approaches give slightly different results, we…

High Energy Physics - Phenomenology · Physics 2023-11-01 Mikhail Gorchtein , Chien-Yeah Seng

The electroweak phase transition broke the electroweak symmetry. Perturbative methods used to calculate observables related to this phase transition suffer from severe problems such as gauge dependence, infrared divergences, and a breakdown…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andreas Ekstedt , Johan Löfgren