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In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The theory generalises the standard mode…

Quantum Physics · Physics 2009-03-02 Stefan Scheel , Stefan Yoshi Buhmann

Within the relativistic quantum field theory, we analyze the differences between the $\pi N$ reaction models constructed from using (1) three-dimensional reductions of Bethe-Salpeter Equation, (2) method of unitary transformation, and (3)…

Nuclear Theory · Physics 2009-05-08 B. Julia-Diaz , H. Kamano , T. -S. H. Lee , A. Matsuyama , T. Sato , N. Suzuki

The worldline formalism has previously been used for deriving compact master formulas for the one-loop N-photon amplitudes in both scalar and spinor QED, and in the vacuum as well as in a constant external field. For scalar QED, there is…

High Energy Physics - Phenomenology · Physics 2017-07-11 Aftab Ahmad , Naser Ahmadiniaz , Olindo Corradini , Sang Pyo Kim , Christian Schubert

This work explores the non-relativistic quantum propagator $K(x,t)$ as a solution of the Schr\"odinger equation. We suppose that the propagator takes the form ${\rm exp}\left(\frac{\mathrm{i}}{\hbar}S+R\right)$, generalizing the usual WKB…

Quantum Physics · Physics 2026-05-26 V. S. Morales-Salgado

The quantum partition function at finite temperature requires computing the trace of the imaginary time propagator. For numerical and Monte Carlo calculations, the propagator is usually split into its kinetic and potential parts. A higher…

Statistical Mechanics · Physics 2009-11-10 Siu A. Chin

Two-body matrix elements of arbitrary local interactions are written as the sum of separable terms in a way that is well suited for the exchange and pairing channels present in mean-field calculations. The expansion relies on the…

Nuclear Theory · Physics 2010-04-29 L. M. Robledo

In this paper, we study the question of quantization of quantum field theories in a general light-front frame. We quantize scalar, fermion as well as gauge field theories in a systematic manner carrying out the Hamiltonian analysis…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Silvana Perez

We consider a quantum system constituted by $N$ identical particles interacting by means of a mean-field Hamiltonian. It is well known that, in the limit $N\to\infty$, the one-particle state obeys to the Hartree equation. Moreover,…

Mathematical Physics · Physics 2015-05-13 Federica Pezzotti , Mario Pulvirenti

For the purpose of understanding the quantum behavior such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set…

Quantum Physics · Physics 2007-12-09 Chung-Hsien Chou , B. L. Hu , Ting Yu

In this paper we solve for the quantum propagator of a general time dependent system quadratic in both position and momentum, linearly coupled to an infinite bath of harmonic oscillators. We work in the regime where the quantum optical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Twamley

We use the method of finite temperature field theory to examine the propagation of mixed neutrinos through dense media, putting the emphasis in those situations in which the neutrinos themselves are in the background. The evolution equation…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. C. D'Olivo , J. F. Nieves

The quark propagator is at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. We investigate the quark propagator with an improved staggered action (Asqtad) and an improved gluon action,…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams

We prove that the Schr\"odinger equation for N number of particles in the time dependent electro-magnetic field generates a unique unitary propagator on the state space under the condition that the field is smooth and moderately but almost…

Mathematical Physics · Physics 2015-12-03 Kenji Yajima

The consistent construction of quantum field theories beyond the simplest cases requires a precise characterization of the propagating degrees of freedom. These are encoded in the single-pole structure of two-point functions, a connection…

High Energy Physics - Theory · Physics 2026-03-25 Carlo Marzo

We develop a technique to formulate quantum field theory on arbitrary network, based on different, randomly disposed sets of scattering's. We define R-matrix of the whole network as a product of R-matrices attached to each of scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 Sh. Khachatryan , A. Sedrakyan , P. Sorba

The quark propagator is calculated in the Nambu-Jona-Lasinio (NJL) model in a self-consistent 1/Nc-expansion at next-to-leading order. The calculations are carried out iteratively in Euclidean space. The chiral quark condensate and its…

High Energy Physics - Phenomenology · Physics 2010-05-24 Daniel Müller , Michael Buballa , Jochen Wambach

The quantum theory of cosmological perturbations in single field inflation is formulated in terms of a path integral. Starting from a canonical formulation, we show how the free propagators can be obtained from the well known…

General Relativity and Quantum Cosmology · Physics 2010-12-14 Tomislav Prokopec , Gerasimos Rigopoulos

The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ian H. Redmount , Wai-Mo Suen

Following the idea of a field quantization of gravity as realized in group field theory, we construct a minisuperspace model where the wavefunction of canonical quantum cosmology (either Wheeler-DeWitt or loop quantum cosmology) is promoted…

General Relativity and Quantum Cosmology · Physics 2012-05-02 Gianluca Calcagni , Steffen Gielen , Daniele Oriti

The connection between QCD, a nonlocal Nambu--Jona-Lasinio type model and the Landau gauge gluon propagator is explored. This two point function is parameterized by a functional form which is compatible with Dyson-Schwinger and lattice QCD…

High Energy Physics - Phenomenology · Physics 2011-01-12 Pedro Costa , O. Oliveira , P. J. Silva