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A rigid framework for the Cartan calculus of Lie derivatives, inner derivations, functions, and forms is proposed. The construction employs a semi-direct product of two graded Hopf algebras, the respective super-extensions of the deformed…

High Energy Physics - Theory · Physics 2008-02-03 Peter Schupp

The dynamics of non-polar diatomic molecules interacting with a far-detuned narrow-band laser field, that only may drive rotational transitions, is studied. The rotation of the molecule is considered both classically and quantum…

Quantum Physics · Physics 2009-11-10 A. Adelswaerd , S. Wallentowitz

We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar vertex integrals confirms a previous conjecture for the…

The role of the strange quarks on the low-energy interactions of the proton can be probed through the strange electromagnetic form factors. Knowledge of these form factors provides essential input for parity-violating processes and…

High Energy Physics - Lattice · Physics 2020-02-19 C. Alexandrou , S. Bacchio , M. Constantinou , J. Finkenrath , K. Hadjiyiannakou , K. Jansen , G. Koutsou

Recently we have reported the correct formulation of the hadron formation from the quarks and gluons by using the lattice QCD method at the zero temperature. Similarly we have also reported the correct formulation of the hadron formation…

General Physics · Physics 2019-04-26 Gouranga C Nayak

I derive expressions for various correlators of the gauge field and find propagators in a new gauge A^\tau=0. This gauge is a part of the wedge form of relativistic dynamics suggested earlier as the tool for the study of quantum dynamics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Makhlin

Rotations of microscale rigid bodies exhibit pronounced quantum phenomena that do not exist for their center-of-mass motion. By levitating nanoparticles in ultra-high vacuum, researchers are developing a promising platform for observing and…

Quantum Physics · Physics 2021-08-02 Benjamin A. Stickler , Klaus Hornberger , M. S. Kim

One-dimensional Yang-Mills Equations are considered from a point of view of a class of nonlinear Klein-Gordon-Fock models. The case of self-dual Nahm equations and non-self-dual models are discussed. A quasiclassical quantization of the…

Mathematical Physics · Physics 2014-11-18 Sergey Leble

Front form dynamics is not a manifestly rotational invariant formalism. In particular, the requirement of an invariance under rotations around the transverse axes is difficult to fulfill.In the present work it is investigated, to which…

High Energy Physics - Theory · Physics 2009-09-25 Uwe Trittmann , Hans-Christian Pauli

With the aim of studying rotating quark-gluon plasma (QGP), holographically, from a top-down approach, the study of the effect of rotation on the deconfinement temperature of thermal QCD-like theories at intermediate coupling from ${\cal…

High Energy Physics - Theory · Physics 2023-04-25 Gopal Yadav

We calculate the form factors of the baryon octet in the framework of heavy baryon chiral perturbation theory. The calculated charge radius of the $\Sigma^-$ is in agreement with recent measurements from CERN and Fermilab. We show that kaon…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Kubis , T. R. Hemmert , Ulf-G. Meißner

Doppler cooling is a widely used technique to laser cool atoms and nanoparticles exploiting the Doppler shift involved in translational transformations. The rotational Doppler effect arising from rotational coordinate transformations should…

Optics · Physics 2019-08-22 Deng Pan , Hongxing Xu , F. Javier García de Abajo

In our previous publications we have introduced a differential calculus on the algebra $U(gl(m))$ based on a new form of the Leibniz rule which differs from that usually employed in Noncommutative Geometry. This differential calculus…

Quantum Algebra · Mathematics 2014-08-20 Dimitri Gurevich , Pavel Saponov

A new thermodynamic state function is introduced to describe the thermodynamics relevant for the mean transverse momentum fluctuations of charged particles in heavy-ion collisions, which allows us to compute the temperature fluctuations of…

High Energy Physics - Phenomenology · Physics 2026-04-24 Jinhui Chen , Wei-jie Fu , Shi Yin , Chunjian Zhang

Recently, a lot of effort has been put into describing the thermalization of the quark-gluon plasma using the gauge/gravity duality. In this context we here present a full numerical solution of the early far-from-equilibrium formation of…

High Energy Physics - Theory · Physics 2013-03-26 Wilke van der Schee

This work concerns the study of certain finite-energy solutions of the anti-self-dual Yang-Mills equations on Euclidean 4-dimensional space which are periodic in two directions, so-called doubly-periodic instantons. We establish a circle of…

Differential Geometry · Mathematics 2007-05-23 Marcos Jardim

We consider a charged quantum particle immersed in an axial magnetic field, comprising a local Aharonov-Bohm singularity and a regular perturbation. Quadratic form techniques are used to characterize different self-adjoint realizations of…

Mathematical Physics · Physics 2024-10-15 Davide Fermi

We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity. We call these…

High Energy Physics - Theory · Physics 2009-10-31 Sergey A. Cherkis , Anton Kapustin

This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that under mild assumptions, such a homeomorphism exhibits uniformly…

Dynamical Systems · Mathematics 2018-03-13 Alejandro Kocsard , Fernanda Pereira-Rodrigues

We study the thermodynamics of the recently-discovered non-extremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first…

High Energy Physics - Theory · Physics 2007-05-23 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope