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We consider a model of quantum electrodynamics (QED) on a graph. The one-loop divergences in the model are investigated by use of the background field method.

High Energy Physics - Theory · Physics 2015-06-26 Nahomi Kan , Kiyoshi Shiraishi

We present a novel form of relativistic quantum mechanics and demonstrate how to solve it using a recently derived unitary perturbation theory, within partial wave analysis. The theory is tested on a relativistic problem, with two spinless,…

Quantum Physics · Physics 2021-08-11 Scott E. Hoffmann

This is a review paper invited by the journal "Classical ad Quantum Gravity" for a "Cluster Issue" on approaches to quantum gravity. I give a synthetic presentation of loop gravity. I spell-out the aims of the theory and compare the results…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Carlo Rovelli

These are the commentaries for a volume of reprints of my selected papers with commentaries that I am preparing for publication by World Scientific. Contents: Preface; (1)Early Years, and Condensed Matter Physics; (2) High Energy Neutrino…

High Energy Physics - Phenomenology · Physics 2016-11-23 Stephen L. Adler

The quasicontinuum (QC) method, originally proposed by Tadmor, Ortiz and Phillips in 1996, is a computational technique that can efficiently handle regular atomistic lattices by combining continuum and atomistic approaches. In the present…

Materials Science · Physics 2024-07-17 Karel Mikeš , Milan Jirásek

An introduction to quantum groups and non-commutative differential calculus (Lecture at the III Workshop on Differential Geometry, Granada, September 1994)

q-alg · Mathematics 2008-02-03 J. A. de Azcarraga , F. Rodenas

The Semiclassical Expansion of the t-J model. Lectures in the Jerusalem Winter School on Strongly Correlated Electrons, Dec. 1991, by Assa Auerbach, Physics Dept., Technion, Israel. LateX. Tech-102.

Condensed Matter · Physics 2007-05-23 Assa Auerbach

Consider a C*-algebra $A$ with a comultiplication $\Delta$. This pair is usually thought of as locally compact quantum semi-group. When these notes were written, in 1993, it was not at all clear what the extra assumptions on the…

Operator Algebras · Mathematics 2007-05-23 Alfons Van Daele

In this PhD thesis, several aspects regarding maximal entanglement are analyzed. In the first chapter, Bell Inequalities are analyzed from an operational perspective as well as novel Bell inequalities are obtained together with their…

Quantum Physics · Physics 2019-07-01 Alba Cervera-Lierta

We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Strickland , Nan Su , Jens O. Andersen

Quantum defect embedding theory (QDET) is a many-body embedding method designed to describe condensed systems with correlated electrons localized within a given region of space, for example spin defects in semiconductors and insulators.…

Materials Science · Physics 2025-08-28 Siyuan Chen , Victor Wen-zhe Yu , Yu Jin , Marco Govoni , Giulia Galli

We provide a quantum model for the recent experiment coupling a tardigrade to superconducting qubits. A number of different perspectives are discussed with the emphasis placed on quantum entanglement between different subsystems involved in…

Quantum Physics · Physics 2022-01-03 Vlatko Vedral

Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Quantum Physics · Physics 2007-05-23 E. H. Knill , M. A. Nielsen

The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original…

High Energy Physics - Theory · Physics 2009-11-07 Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger

In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

Quantum Physics · Physics 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige

I give a review and progress report on studies of lattice QED. I emphasize analytical results and methods that are applied in data analysis. Also, I derive some bounds for the critical exponents and establish their connection with scaling…

High Energy Physics - Lattice · Physics 2009-10-22 Aleksandar Kocic

More than ten years ago a first step towards quantum error correction (QEC) was implemented [Phys. Rev. Lett. 81, 2152 (1998)]. The work showed there was sufficient control in nuclear magnetic resonance (NMR) to implement QEC, and…

Quantum Physics · Physics 2011-09-23 Jingfu Zhang , Dorian Gangloff , Osama Moussa , Raymond Laflamme

I consider quantum protocols for clock synchronization, and investigate in particular whether entanglement distillation or quantum error-correcting codes can improve the robustness of these protocols. I also draw attention to some…

Quantum Physics · Physics 2007-05-23 John Preskill

We study quantum electrodynamics in a (2+1)-dimensional space-time with two flavors of dynamical fermions by numerical simulations on the lattice. We discretize the theory using both the compact and the noncompact formulations and analyze…

High Energy Physics - Lattice · Physics 2014-11-17 R. Fiore , P. Giudice , D. Giuliano , D. Marmottini , A. Papa , P. Sodano

The interest in $q$-analogs of codes and designs has been increased in the last few years as a consequence of their new application in error-correction for random network coding. There are many interesting theoretical, algebraic, and…

Information Theory · Computer Science 2013-05-28 Tuvi Etzion