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This work develops a comprehensive algorithm and a Mathematica program to construct boundary data and compute real and complex critical points in spinfoam amplitudes. Our approach covers both spacelike tetrahedra and triangles in the EPRL…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Muxin Han , Hongguang Liu , Dongxue Qu

Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large $q$ SYK model valid at arbitrary temperatures and to…

High Energy Physics - Theory · Physics 2019-12-03 Changha Choi , Márk Mezei , Gábor Sárosi

The effective action for local composite operators in $QED_3$ is considered. The effective potential is calculated in leading order in $1/N_f$ ($N_f$ is the number of fermion flavors) and used to describe the features of the phase…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , A. V. Shpagin

Quantum devices may overcome limitations of classical computers in studies of nuclear structure functions and parton Wigner distributions of protons and nuclei. In this talk, we discuss a worldline approach to compute nuclear structure…

High Energy Physics - Theory · Physics 2021-02-03 Niklas Mueller , Andrey Tarasov , Raju Venugopalan

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point…

High Energy Physics - Theory · Physics 2014-11-18 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini

We develop a general framework to investigate fluctuations of non-commuting observables. To this end, we consider the Keldysh quasi-probability distribution (KQPD). This distribution provides a measurement-independent description of the…

Quantum Physics · Physics 2017-10-13 Patrick P. Hofer

In 4d $\mathcal{N}=1$ superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most…

High Energy Physics - Theory · Physics 2019-01-30 Andrea Manenti , Andreas Stergiou , Alessandro Vichi

This paper presents an algorithm for generating all imaginary and unusual discriminants up to a fixed degree bound that define a quadratic function field of positive 3-rank. Our method makes use of function field adaptations of a method due…

Number Theory · Mathematics 2012-05-04 Pieter Rozenhart , Michael Jacobson , Renate Scheidler

Inspired by the formulation of quantum-electrodynamical time-dependent density functional theory (QED-TDDFT) by Rubio and coworkers, we propose an implementation that uses dimensionless amplitudes for describing the photonic contributions…

Materials Science · Physics 2021-08-20 Junjie Yang , Qi Ou , Zheng Pei , Hua Wang , Binbin Weng , Kieran Mullen , Yihan Shao

Schwinger-Dyson equations are used to study the phase diagram of QED in three dimensions. This computation is made with full frequency-dependence in the two-point function gap equations for the first time. We also demonstrate that reliable…

High Energy Physics - Phenomenology · Physics 2014-02-05 P. M. Lo , E. S. Swanson

In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent…

Quantum Physics · Physics 2023-09-12 Alessandro Santini , Andrea Solfanelli , Stefano Gherardini , Mario Collura

We present fully empirical exchange-correlation functionals to be used within reduced density matrix functional theory (RDMFT). These are of the popular J-K form, where the function of the occupation numbers that multiplies the Fock orbital…

Computational Physics · Physics 2017-03-03 Miguel A. L. Marques , N. N. Lathiotakis

We present a new method which uses Feynman-like diagrams to calculate the statistical quantities of embedded many-body random matrix problems. The method provides a promising alternative to existing techniques and offers many important…

Statistical Mechanics · Physics 2014-08-06 Rupert Small , Sebastian Müller

Instanton calculations are demonstrated from a viewpoint of twisted topological field theory. Various properties become manifest such that perturbative corrections are terminated at one-loop, and norm cancellations occur between bosonic and…

High Energy Physics - Theory · Physics 2007-05-23 Yuhsuke Yoshida

We present a comprehensive pedagogical discussion of a family of models describing the propagation of a single particle in a multicomponent non-Markovian Gaussian random field. We report some exact results for single-particle Green's…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 D. V. Efremov , M. N. Kiselev

We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on the Clifford analysis. Applications to the quantum field theory are described. Keywords: Functional calculus, Weyl calculus, Riesz…

funct-an · Mathematics 2016-11-03 Vladimir V. Kisil , Enrique Ramírez de Arellano

We propose a scheme to extract the many-body spectral function of an interacting many-electron system from an equilibrium density functional theory (DFT) calculation. To this end we devise an ideal STM-like setup and employ the recently…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 David Jacob , Stefan Kurth

We consider 2D Yukawa theory in the strong scalar wave background. We use operator and functional formalisms. In the latter the Schwinger--Keldysh diagrammatic technique is used to calculate retarded, advanced and Keldysh propagators. We…

High Energy Physics - Theory · Physics 2021-09-07 E. T. Akhmedov , O. Diatlyk , A. G. Semenov

We discuss the functional Schroedinger picture for fermions in external fields for both stationary and time-dependent problems. We give formal results for the ground state and the solution of the time-dependent Schroedinger equation for QED…

High Energy Physics - Theory · Physics 2009-10-22 Claus Kiefer , Andreas Wipf

We use the in-in or Schwinger-Keldysh formalism to explore the construction and interpretation of effective field theories for time-dependent systems evolving out of equilibrium. Starting with a simple model consisting of a heavy and a…

High Energy Physics - Theory · Physics 2015-06-11 Hael Collins , R. Holman , Andreas Ross