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We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length,…

High Energy Physics - Lattice · Physics 2015-06-25 J. Engels , L. Fromme , M. Seniuch

We calculate spectral functions of the relativistic $O(4)$ model from real-time lattice simulations in classical-statistical field theory. While in the low and high temperature phase of the model, the spectral functions of longitudinal…

High Energy Physics - Lattice · Physics 2019-12-05 Sören Schlichting , Dominik Smith , Lorenz von Smekal

We have extended our method of grouping of Feynman diagrams (GFD theory) to study the transverse (G_t) and longitudinal (G_l) Greens functions in phi^4 model below the critical point (T<T_c) in presence of an infinitesimal external field.…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. In the low-temperature phase we verify explicitly the H^{-1/2}-dependence of the…

High Energy Physics - Lattice · Physics 2009-11-10 J. Engels , L. Fromme , M. Seniuch

We investigate the dynamic critical behaviour of a relativistic scalar field theory with $Z_2$ symmetry by calculating spectral functions of the order parameter at zero and non-vanishing momenta from first-principles classical-statistical…

High Energy Physics - Lattice · Physics 2020-11-26 Dominik Schweitzer , Sören Schlichting , Lorenz von Smekal

The spectral function related to the correlator of two colour-electric fields along a Polyakov loop determines the momentum diffusion coefficient of a heavy quark near rest with respect to a heat bath. We compute this spectral function at…

High Energy Physics - Phenomenology · Physics 2014-11-21 Y. Burnier , M. Laine , J. Langelage , L. Mether

We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$). We obtain numerical predictions for low-twist OPE…

High Energy Physics - Theory · Physics 2020-12-02 Junyu Liu , David Meltzer , David Poland , David Simmons-Duffin

We present the three-dimensional power spectrum of galaxy clustering using measurements of the angular correlation function from the second incremental release of the Two-Micron All Sky Survey (2MASS). The angular positions of galaxies out…

Astrophysics · Physics 2019-08-17 B. Allgood , G. Blumenthal , J. R. Primack

We argue that from observations alone, only the transverse power spectrum $C_\ell(z_1,z_2)$ and the corresponding correlation function $\xi(\theta,z_1,z_2)$ can be measured and that these contain the full three dimensional information. We…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-23 Francesco Montanari , Ruth Durrer

Eder and Ohta have found a violation of the Luttinger rule in the spectral function for the t-t'-J model, which was interpreted as a possible breakdown of the Tomonaga-Luttinger(TL) description in models where electrons can pass each other.…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Koichi Kusakabe , Kazuhiko Kuroki , Hideo Aoki

Thermal broadening of the quasi-particle peak in the spectral function is an important physical feature in many statistical systems, but it is difficult to calculate. To tackle this problem, we propose the $H$-expanded basis within the…

Strongly Correlated Electrons · Physics 2025-02-21 Hu-Wei Jia , Wen-Jun Liu , Yue-Hong Wu , Kou-Han Ma , Lei Wang , Ning-Hua Tong

It is shown using experimental and numerical data that within the traditional inertial subrange defined by where the third order structure function is linear that the higher order structure function scaling exponents for longitudinal and…

Fluid Dynamics · Physics 2009-11-06 Robert M. Kerr , Maurice Meneguzzi , Toshiyuki Gotoh

The transverse momentum spectra of identified particles produced in high energy proton-proton ($p+p$) collisions are empirically described by a new method with the framework of participant quark model or the multisource model at the quark…

High Energy Physics - Phenomenology · Physics 2020-11-03 Pei-Pin Yang , Fu-Hu Liu , Raghunath Sahoo

Most of this paper consists of the derivation of general beam-referenced stage-two spin-correlation functions for the analysis of top-antitop pair-production at the Tevatron, at the Large Hadron Collider, and/or at an International Linear…

High Energy Physics - Phenomenology · Physics 2009-01-07 Charles A. Nelson , Eric Gasparo Barbagiovanni , Jeffrey J. Berger , Elisa K. Pueschel , Joshua R. Wickman

Correlation functions in the O(n) models below the critical temperature are considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier by Engels and Vogt, that the transverse two-plane correlation function of the O(4)…

Statistical Mechanics · Physics 2016-08-24 J. Kaupuzs , R. V. N. Melnik , J. Rimsans

We use modular invariance and crossing symmetry of conformal field theory to reveal approximate reflection symmetries in the spectral decompositions of the partition function in two dimensions in the limit of large central charge and of the…

High Energy Physics - Theory · Physics 2016-05-25 Hyungrok Kim , Petr Kravchuk , Hirosi Ooguri

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

The static transverse and longitudinal correlation functions (CF) of a 3-dimensional ferromagnet are calculated for the exactly solvable anisotropic spherical model (ASM) determined as the limit D \to \infty of the classical D-component…

Statistical Mechanics · Physics 2015-06-25 D. A. Garanin

We prove exponential decay of transverse correlations in the Spin O(N) model for arbitrary (non-zero) values of the external magnetic field and arbitrary spin dimension N > 1. Our result is new when N > 3, in which case no Lee-Yang theorem…

Probability · Mathematics 2021-02-01 Benjamin Lees , Lorenzo Taggi

In this paper, an improved multi-source thermal model is used to analyze the transverse momentum spectra in $pp$ collisions at high energies ranging from $\sqrt{\mathrm{\it s_{NN}}}$ = 62.4 GeV to 7 TeV. We give a detailed comparison…

High Energy Physics - Phenomenology · Physics 2019-11-14 Bao-Chun Li , Hai-Fu Zhao , Fu-Hu Liu , Xin-Jian Wen , Hong-Wei Dong
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