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The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions…

Atomic Physics · Physics 2010-05-19 Vladimir A. Yerokhin

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

Quantum Physics · Physics 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

We study the unitary time evolution of a simple quantum Hamiltonian describing two harmonic oscillators coupled via a three-level system. The latter acts as an engine transferring energy from one oscillator to the other and is driven in a…

Quantum Physics · Physics 2015-04-01 Winny O'Kelly de Galway , Jan Naudts

We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in…

High Energy Physics - Theory · Physics 2023-01-11 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Eric Sawyer , Chia-Hsien Shen

In this thesis we calculate the baryon axial current within the combined framework of the $1/N_c$ expansion and chiral perturbation theory, where $N_c$ is the number of colors. This calculation shall consider Feynman diagrams to order of…

High Energy Physics - Phenomenology · Physics 2015-11-18 Maria A. Hernandez-Ruiz

We review the recent progress achieved, using Resonance Chiral Theory, in the hadronic contributions to the muon anomalous magnetic moment. These include the hadronic vacuum polarization, either using $e^+e^-$ or $\tau$ decays into hadron…

High Energy Physics - Phenomenology · Physics 2026-02-10 Emilio J. Estrada , Alejandro Miranda , Pablo Roig

Two-particle two-hole contributions to electromagnetic response functions are computed in a fully relativistic Fermi gas model. All one-pion exchange diagrams that contribute to the scattering amplitude in perturbation theory are…

Nuclear Theory · Physics 2011-11-10 J. E. Amaro , C. Maieron , M. B. Barbaro , J. A. Caballero , T. W. Donnelly

We study the pp \to pp\pi^0 reaction near threshold based on heavy-baryon chiral perturbation theory. We show that the two-pion-exchange diagrams give much larger contribution than the one-pion-exchange diagram which is of lower chiral…

Nuclear Theory · Physics 2008-11-26 F. Myhrer

We propose a method for enacting the unitary time propagation of two interacting neutrons at leading order of chiral effective field theory by efficiently encoding the nuclear dynamics into a single multi-level quantum device. The emulated…

We develop notions of twisted spinor bundle and twisted pre-quantum bundle on quasi-Hamiltonian G-spaces. The main result of this paper is that we construct a Dirac operator with index given by positive energy representation of loop group.…

Symplectic Geometry · Mathematics 2016-06-29 Yanli Song

We analyze the phase diagram of a quantum particle confined to a finite chain, subject to a dissipative environment described by an Ohmic spectral function. Analytical and numerical techniques are employed to explore both the perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Sabio , L. Borda , F. Guinea , F. Sols

We present an update on the phase diagram of two-color QCD from a chiral effective model approach based on a quark-meson-diquark model using the Functional Renormalization Group (FRG). We discuss the impact of perturbative UV contributions,…

High Energy Physics - Phenomenology · Physics 2014-03-27 Nils Strodthoff , Lorenz von Smekal

We apply the general procedure presented by Jarzynski in [1] to the problem of dissipation in a voltage-driven single-electron box. We obtain the expression of dissipated work, and find its relation to the dissipation Q obtained in [2]. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 J. P. Pekola , O. -P. Saira

We present results for the charged kaon-box contributions to the hadronic light-by-light (HLBL) correction of the muon's anomalous magnetic moment. To this end we determine the kaon electromagnetic form factor within the functional approach…

High Energy Physics - Phenomenology · Physics 2020-03-18 Gernot Eichmann , Christian S. Fischer , Richard Williams

Vacuum polarization mediated by quark loops is susceptible to external electromagnetic fields as well as to the QCD vacuum structure. Employing the stochastic vacuum model, we calculate the modification of the one-loop Euler-Heisenberg…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -Th. Elze , B. Müller , J. Rafelski

We explore a consistent way to extend the partially conserved axial vector current (PCAC) relationship and corresponding current algebra results in two strongly correlated directions: 1) towards a search for a set of systematic rules for…

Nuclear Theory · Physics 2008-02-03 S. Ying

A diagrammatic method is presented for averaging over the circular ensemble of random-matrix theory. The method is applied to phase-coherent conduction through a chaotic cavity (a ``quantum dot'') and through the interface between a normal…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

For a quantum many-body problem, effective Hamiltonians that give exact eigenvalues in reduced model space usually have different expressions, diagrams and evaluation rules from effective transition operators that give exact transition…

Quantum Physics · Physics 2007-05-23 Chang-Kui Duan , Yungui Gong , Hui-Ning Dong , Michael F. Reid

We apply the method of unitary transformations to a model two-nucleon potential and construct from it an effective potential in a subspace of momenta below a given cut-off $\Lambda$. The S-matrices in the full space and in the subspace are…

Nuclear Theory · Physics 2008-11-26 E. Epelbaoum , W. Glöckle , A. Krüger , Ulf-G. Meißner

An overview of a quantum algorithm application for the identification of causal singular configurations of multiloop Feynman diagrams is presented. The quantum algorithm is implemented in two different quantum simulators, the output…

High Energy Physics - Phenomenology · Physics 2022-01-13 Selomit Ramírez-Uribe