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We give concentration inequalities in Wasserstein distance for the empirical measure of a sequence of independent and identically distributed random variables with values in a Polish space E. These inequalities involve the covering…

Probability · Mathematics 2026-01-19 Jérôme Dedecker , Aurélie Fischer , Bertrand Michel

There are several factors which lead to a huge enhancement of parity and time invariance violating effects in the Ra atom: very close electronic levels of opposite parity, the large nuclear charge Z and the collective nature of T,P-odd…

Atomic Physics · Physics 2009-10-31 V. V. Flambaum

We study the isoperimetric problem in product spaces equipped with the uniform distance. Our main result is a characterization of isoperimetric inequalities which, when satisfied on a space, are still valid for the product spaces, up a to a…

Functional Analysis · Mathematics 2014-11-14 Franck Barthe , Benoit Huou

We study the problem of stability of chiral states, also known as problem of chirality, within the framework of a two-dimensional approximation of a symmetric double-well potential. We show how the symmetry breaking of the potential due to…

Chemical Physics · Physics 2011-12-23 Mohammad Bahrami , Afshin Shafiee

When the weak-forces producing parity-violating effects are taken into account, there is a tiny energy difference between the total electronic energies of two enantiomers ($\Delta E_{PV}$), which might be the key to understand the evolution…

Chemical Physics · Physics 2026-03-03 Juan J. Aucar , Alessandro Stroppa , Gustavo A. Aucar

A one-dimensional quantum mechanical model possessing mass gap, a gapless excitation, and an approximate parity doubling of energy levels is constructed basing on heuristic QCD-inspired arguments. The model may serve for illustrative…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. S. Afonin

Using a direct approach, we prove a $2$-dimensional epiperimetric inequality for the one-phase problem in the scalar and vectorial cases and for the double-phase problem. From this we deduce, in dimension $2$, the $C^{1,\alpha}$ regularity…

Analysis of PDEs · Mathematics 2017-02-10 Luca Spolaor , Bozhidar Velichkov

We analyze the unitarity of a modified QED with higher-order terms that violate Lorentz symmetry. We make an explicit calculation to verify unitarity at the one-loop level. As expected we find negative norm states that could in principle…

High Energy Physics - Phenomenology · Physics 2014-03-26 Markos Maniatis , Carlos M. Reyes

Higher mass dimension terms in an effective field theory framework for tests of spacetime symmetries are studied. Using a post-Newtonian expansion method, we derive the spacetime metric and the equations of motion for a binary system. This…

General Relativity and Quantum Cosmology · Physics 2017-10-03 Quentin G. Bailey , Daniel Havert

Testing for the equality of two high-dimensional distributions is a challenging problem, and this becomes even more challenging when the sample size is small. Over the last few decades, several graph-based two-sample tests have been…

Methodology · Statistics 2019-11-22 Soham Sarkar , Rahul Biswas , Anil K. Ghosh

We investigate how large baryon densities (and possibly high temperatures) may induce spontaneous parity violation in the composite meson sector of vector-like gauge theory (presumably QCD or techni-QCD) . The analysis at intermediate…

High Energy Physics - Phenomenology · Physics 2014-04-11 A. A. Andrianov , V. A. Andrianov , D. Espriu

We investigate the mass dependence of the Araki-Uhlmann relative entropy between a localized coherent excitation and the vacuum state of a free scalar quantum field on the $(1+d)$-dimensional Minkowski spacetime for $d = 1, 2, 3$. In this…

High Energy Physics - Theory · Physics 2025-11-26 João G. A. Caribé , Marcelo S. Guimarães , Itzhak Roditi , Silvio P. Sorella , Arthur F. Vieira

We investigate the possibility of the enhancement of parity-violation signal in bouncing cosmology. Specifically, we are interested in deciding which phase should generate the most significant parity-violation signals. We find that the…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Mian Zhu , Yong Cai

We constrain the size of R-parity violating couplings using precision electroweak data.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tatsu Takeuchi , Oleg Lebedev , Will Loinaz

Chirality is a ubiquitous phenomenon in which a symmetry between left- and right-handed objects is broken, examples in nature ranging from subatomic particles and molecules to living organisms. In particle physics, the weak force is…

We consider a model for periodic patterns of charges constrained over a cylindrical surface. In particular we focus on patterns of chiral helices, achiral rings or vertical lamellae, with the constraint of global electroneutrality. We study…

Soft Condensed Matter · Physics 2009-11-13 Kevin L. Kohlstedt , Francisco Solis , Graziano Vernizzi , Monica Olvera de la Cruz

Recently, an explicit relation between a measure of entanglement and a geometric entity has been reported in Quantum Inf. Process. (2016) 15:1629-1638. It has been shown that if a qubit gets entangled with another ancillary qubit then…

Quantum Physics · Physics 2019-04-10 Pratapaditya Bej , Prasenjit Deb

The chiral quark model posits pseudoscalar and vector meson couplings to constituent quarks. The parity violating meson-quark couplings lead to anapole moments and form factors of the nucleons. These arise both as parity violating meson…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. O. Riska

An entangled state prepared in the decoherence free sub-space together with a Ramsey type measurement can probe parity violation in heavy alkali ions like Ba+ or Ra+. Here we propose an experiment with Ba+ ions as an example to measure the…

Quantum Physics · Physics 2010-10-14 M. Mukherjee

By analyzing the movements of quiet standing persons by means of wavelet statistics, we observe multiple scaling regions in the underlying body dynamics. The use of the wavelet-variance function opens the possibility to relate scaling…

Biological Physics · Physics 2009-11-06 S. Thurner , C. Mittermaier , R. Hanel , K. Ehrenberger