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The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain…

Statistical Mechanics · Physics 2008-11-26 Go Kato , Masahiro Shiroishi , Minoru Takahashi , Kazumitsu Sakai

The concept of conformal field theory provides a general classification of statistical systems on two-dimensional geometries at the point of a continuous phase transition. Considering the finite-size scaling of certain special observables,…

Statistical Mechanics · Physics 2017-09-27 M. Weigel , W. Janke

Precise measurements of cosmic microwave background polarization require rigorous control of instrumental systematics. For the South Pole Telescope's third-generation camera (SPT-3G), accurate characterization of the beam is critical for…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-09 T. de Haan , M. Archipley , N. Huang , A. J. Anderson , B. Ansarinejad , L. Balkenhol , D. R. Barron , K. Benabed , A. N. Bender , B. A. Benson , F. Bianchini , L. E. Bleem , S. Bocquet , F. R. Bouchet , L. Bryant , E. Camphuis , M. G. Campitiello , J. E. Carlstrom , J. Carron , C. L. Chang , P. Chaubal , P. M. Chichura , A. Chokshi , T. -L. Chou , A. Coerver , T. M. Crawford , C. Daley , K. R. Dibert , M. A. Dobbs , M. Doohan , A. Doussot , D. Dutcher , W. Everett , C. Feng , K. R. Ferguson , N. C. Ferree , K. Fichman , A. Foster , S. Galli , A. E. Gambrel , R. W. Gardner , F. Ge , N. Goeckner-Wald , R. Gualtieri , F. Guidi , S. Guns , N. W. Halverson , E. Hivon , A. Y. Q. Ho , G. P. Holder , W. L. Holzapfel , J. C. Hood , A. Hryciuk , F. Keruzore , A. R. Khalife , L. Knox , M. Korman , K. Kornoelje , C. -L. Kuo , K. Levy , Y. Li , A. E. Lowitz , C. Lu , G. P. Lynch , T. J. Maccarone , A. S. Maniyar , E. S. Martsen , F. Menanteau , M. Millea , J. Montgomery , Y. Nakato , T. Natoli , G. I. Noble , Y. Omori , A. Ouellette , Z. Pan , P. Paschos , K. A. Phadke , A. W. Pollak , K. Prabhu , W. Quan , M. Rahimi , A. Rahlin , C. L. Reichardt , M. Rouble , J. E. Ruhl , E. Schiappucci , A. C. Silva Oliveira , A. Simpson , J. A. Sobrin , A. A. Stark , J. Stephen , C. Tandoi , B. Thorne , C. Trendafilova , C. Umilta , J. D. Vieira , A. G. Vieregg , A. Vitrier , Y. Wan , N. Whitehorn , W. L. K. Wu , M. R. Young , J. A. Zebrowski

Here we show how to produce a 3D density field with a given set of higher-order correlation functions. Our algorithm enables producing any desired two-point, three-point, and four-point functions, including odd-parity for the latter. We…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-16 Zachary Slepian

Owing to their more extensive sky coverage and tighter control on systematic errors, future deep weak lensing surveys should provide a better statistical picture of the dark matter clustering beyond the level of the power spectrum. In this…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Dipak Munshi , Joseph Smidt , Alan Heavens , Peter Coles , Asantha Cooray

We compute three-point correlation functions in the near-extremal, near-horizon region of a Kerr black hole, and compare to the corresponding finite-temperature conformal field theory correlators. For simplicity, we focus on scalar fields…

High Energy Physics - Theory · Physics 2011-02-09 Melanie Becker , Sera Cremonini , Waldemar Schulgin

In this paper we introduce a new observable to measure cosmic shear. We show that if we can measure with good accuracy both, the orientation of a galaxy and the polarisation direction of its radio emission, the angle between them is…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Jérémie Francfort , Giulia Cusin , Ruth Durrer

Truly chiral phonons are lattice eigenmodes that combine broken mirror symmetry with circular atomic motion. They can mediate angular-momentum-selective interactions in quantum materials, yet directly resolving both their chirality and…

Optics · Physics 2026-04-29 Yuhan Wang , Yuxuan Wei , Li Huang , Chuanshan Tian

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same…

High Energy Physics - Theory · Physics 2015-06-16 Matthias R. Gaberdiel , Kewang Jin , Eric Perlmutter

We present a semi-analytic model for the shear two-point correlation function of a cosmic shear survey with non-uniform depth. Ground-based surveys are subject to depth variations that primarily arise through varying atmospheric conditions.…

Accurate reconstruction of the spatial distributions of the Point Spread Function (PSF) is crucial for high precision cosmic shear measurements. Nevertheless, current methods are not good at recovering the PSF fluctuations of high spatial…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-12 Tianhuan Lu , Jun Zhang , Fuyu Dong , Yingke Li , Dezi Liu , Liping Fu , Guoliang Li , Zuhui Fan

We present the first measurement of cross-correlation between the lensing potential, reconstructed from cosmic microwave background (CMB) {\it polarization} data, and the cosmic shear field from galaxy shapes. This measurement is made using…

We propose a simple method of measuring the autocorrelation function of a spin noise based on multiplication and averaging two digitized signal traces, with one of them being a time-reversed copy of the other. This procedure allows one to…

Quantum Physics · Physics 2024-10-23 M. V. Dubinin , A. A. Fomin , G. G. Kozlov , M. Yu. Petrov , V. S. Zapasskii

We present a new statistical tool, called the triangle correlation function (TCF), inspired by the earlier work of Obreschkow et al. It is derived from the three-point correlation function and aims to probe the characteristic scale of…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Adélie Gorce , Jonathan R. Pritchard

Using 1000 ray-tracing simulations for a {\Lambda}-dominated cold dark model in Sato et al. (2009), we study the covariance matrix of cosmic shear correlation functions, which is the standard statistics used in the previous measurements.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Masanori Sato , Masahiro Takada , Takashi Hamana , Takahiko Matsubara

Higher-order shear statistics contain part of the non-Gaussian information of the projected matter field and therefore can provide additional constraints on the cosmological parameters when combined with second-order statistics. We aim to…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Elena Silvestre-Rosello , Lucas Porth , Peter Schneider , Laila Linke , Jonas Krueger , Sebastian Grandis , Jonathan Oel

We use weak lensing data from the Hubble Space Telescope COSMOS survey to measure the second- and third-moments of the cosmic shear field, estimated from about 450,000 galaxies with average redshift <z> ~ 1.3. We measure two- and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Elisabetta Semboloni , Tim Schrabback , Ludovic van Waerbeke , Sanaz Vafaei , Jan Hartlap , Stefan Hilbert

We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin…

High Energy Physics - Theory · Physics 2019-10-25 Stephon Alexander , S. James Gates , Leah Jenks , K. Koutrolikos , Evan McDonough

We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial…

High Energy Physics - Lattice · Physics 2009-10-28 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

We study the general properties of the CMB temperature four-point function, specifically its harmonic analogue the angular trispectrum, and illustrate its utility in finding optimal quadratic statistics through the weak gravitational…

Astrophysics · Physics 2009-11-06 Wayne Hu