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A class of gravity theories respecting spatial covariance and in the presence of non-dynamical auxiliary scalar fields with only spatial derivatives is investigated. Generally, without higher temporal derivatives in the metric sector, there…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jun-Cheng Zhu , Shu-Yu Li , Xian Gao

We show that 4--dimensional conformal field theory is most naturally formulated on Kulkarni 4--folds, i. e. real 4--folds endowed with an integrable quaternionic structure. This leads to a formalism that parallels very closely that of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Roberto Zucchini

We report about recent progress in computing four-loop massive correlators. The expansion of these correlators in the external momentum leads to vacuum integrals. The calculation of these vacuum integrals can be used to determine Taylor…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , J. H. Kühn , C. Sturm

We demonstrate how the mixed dynamic form factor (MDFF) can be interpreted as a quadratic form. This makes it possible to use matrix diagonalization methods to reduce the number of terms that need to be taken into account when calculating…

Materials Science · Physics 2017-02-16 Stefan Löffler , Viktoria Motsch , Peter Schattschneider

Radio polarimetry is a three-dimensional statistical problem. The three-dimensional aspect of the problem arises from the Stokes parameters Q, U, and V, which completely describe the polarization of electromagnetic radiation and…

Astrophysics of Galaxies · Physics 2015-05-20 M. M. McKinnon

We establish two expansions of the Potts model partition function of a graph. One is along the deletions of a graph, a rewritten formula given in Biggs (1977). The other is along the contractions of a graph. Then, we specialize the…

Combinatorics · Mathematics 2024-05-17 Ryo Takahashi

Polarisation holography generally demands polarisation-sensitive holograms for reconstructing either polarisation-multiplexed holographic images or polarisation-sensitive image channels. To date, polarisation holography is underpinned by…

Optics · Physics 2022-07-22 Haoran Ren

In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal star-product in composing the components of…

Mathematical Physics · Physics 2009-09-19 I. Bugdayci , A. Vercin

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

In a previous paper we showed how higher-order strong-field-QED processes in long laser pulses can be approximated by multiplying sequences of "strong-field Mueller matrices". We obtained expressions that are valid for arbitrary field shape…

High Energy Physics - Phenomenology · Physics 2021-07-07 Greger Torgrimsson

We describe exciton-polariton modes formed by the interaction between excitons in a 2D layer of a transition metal dichalcogenide embedded in a cylindrical microcavity and the microcavity photons. For this, an expression for the excitonic…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 José Nuno S. Gomes , Carlos Trallero-Giner , Nuno M. R. Peres , Mikhail I. Vasilevskiy

Third order anharmonic scattering in light-matter systems can drive a wide variety of practical and physically interesting processes from lasing to polariton condensation. Motivated by recent experimental results in the nonlinear optics of…

Mesoscale and Nanoscale Physics · Physics 2017-11-06 Christopher R. Gubbin , Simone De Liberato

Accurate prediction of the frequency response of quantum dots under electromagnetic radiation is essential for investigating absorption spectra, excitonic effects, and nonlinear optical behavior in quantum dots and semiconductor…

Modern digital crosscorrelators permit the simultaneous measurement of all four Stokes parameters. However, the results must be calibrated to correct for the polarization transfer function of the receiving system. The transfer function for…

We study a class of optical circuits with vacuum input states consisting of Gaussian sources without coherent displacements such as down-converters and squeezers, together with detectors and passive interferometry (beam-splitters,…

Quantum Physics · Physics 2010-04-09 Pieter Kok , Samuel L Braunstein

We consider the planar limit of Chern-Simons theories coupled to a scalar $\phi$ in the fundamental representation of a $U(N)_k$ gauge group, at both the regular and Wilson-Fisher conformal points. These theories have one single-trace…

High Energy Physics - Theory · Physics 2018-05-31 Ran Yacoby

We advocate for a simple multipole expansion of the polarization density matrix. The resulting multipoles are used to construct bona fide quasiprobability distributions that appear as a sum of successive moments of the Stokes variables; the…

Quantum Physics · Physics 2013-06-04 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , G. Leuchs

We provide a holographic prescription to compute real-time thermal correlators with arbitrary operator ordering. In field theory, these correlation functions are captured by a multi-fold Schwinger-Keldysh time contour. We propose a…

High Energy Physics - Theory · Physics 2025-10-07 Martin Ammon , Jette Germerodt , Christoph Sieling , Julio Virrueta

The generation of high-fidelity polarization-entangled photon pairs, to date, has been demonstrated on specific spatial modes or over relatively narrow apertures. We put forward and demonstrate an experimental scheme to extend the temporal…

Quantum Physics · Physics 2021-06-15 Salem F. Hegazy , Salah S. A. Obayya

This paper presents a comprehensive description of the coordinate rings and Poisson brackets associated with the fourth Calogero-Moser space and invariant commuting pairs of matrices of size four. As an application, we compute their…

Algebraic Geometry · Mathematics 2025-02-21 Farkhod Eshmatov , Xabier García-Martínez , Zafar Normatov , Rustam Turdibaev