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We investigate the neutron's response to magnetic fields on a torus with the aid of chiral perturbation theory, and expose effects from non-vanishing holonomies. The determination of such effects necessitates non-perturbative treatment of…

High Energy Physics - Lattice · Physics 2014-04-23 Brian C. Tiburzi

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

High Energy Physics - Lattice · Physics 2009-05-18 Brian C. Tiburzi

Using finite gap methods, we find the leading order finite size corrections for an arbitrary number of giant magnons on physical strings, where the sum of the momenta is a multiple of 2\pi. Our results are valid for the Hofman-Maldacena…

High Energy Physics - Theory · Physics 2008-11-26 J. A. Minahan , O. Ohlsson Sax

A matrix Hamiltonian model is developed to address the finite-volume effects appearing in studies of baryon resonances in lattice QCD. The Hamiltonian model includes interaction terms in a transparent way, and can be readily generalized to…

High Energy Physics - Lattice · Physics 2014-11-21 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young

The finite volume correction for a mean-field monomer-dimer system with an attractive interaction are computed for the pressure density, the monomer density and the susceptibility. The results are obtained by introducing a two-dimensional…

Mathematical Physics · Physics 2019-02-20 Diego Alberici , Pierluigi Contucci , Rachele Luzi , Cecilia Vernia

Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_\mu is dominantly given by two-pion states satisfying L\"uscher's finite-volume quantization condition.…

High Energy Physics - Lattice · Physics 2025-04-14 Sakura Itatani , Hidenori Fukaya , Shoji Hashimoto

Using the fermionic basis we conjecture exact expressions for diagonal finite volume matrix elements of exponential operators and their descendants in the sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite series…

High Energy Physics - Theory · Physics 2019-07-24 Zoltan Bajnok , Fedor Smirnov

We calculate the pion and kaon electromagnetic form factors in finite volume for a generic momentum transfer in space-like region, using SU(3) chiral perturbation theory. To this end, we first find the hadronic matrix element in a new form…

High Energy Physics - Phenomenology · Physics 2016-04-15 Karim Ghorbani

Recent exact predictions for the massive scaling limit of the two dimensional XY-model are based on the equivalence with the sine-Gordon theory and include detailed results on the finite size behavior. The so-called step-scaling function of…

High Energy Physics - Lattice · Physics 2010-04-05 Janos Balog , Francesco Knechtli , Tomasz Korzec , Ulli Wolff

We present a general formalism for the calculation of finite-width contributions to the differential production cross sections of unstable particles at hadron colliders. In this formalism, which employs an effective-theory description of…

High Energy Physics - Phenomenology · Physics 2015-06-15 P. Falgari , A. S. Papanastasiou , A. Signer

PDFs can be studied directly using lattice QCD by evaluating matrix elements of non-local operators. A number of groups are pursuing numerical calculations and investigating possible systematic uncertainties. One systematic that has…

High Energy Physics - Lattice · Physics 2018-11-08 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

We present the finite-size scaling theory of one-dimensional quantum critical systems in the presence of boundaries. While the finite-size spectrum in the conformal limit, namely of a conformal field theory with conformally invariant…

Strongly Correlated Electrons · Physics 2024-10-02 Yifan Liu , Haruki Shimizu , Atsushi Ueda , Masaki Oshikawa

We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at $O(\alpha)$ are universal, i.e. they are independent of the structure of the meson. This is…

High Energy Physics - Lattice · Physics 2017-03-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

We analyze the determination of volume effects for correlation functions that depend on an external momentum. As a specific example, we consider finite volume nucleon current correlators, and focus on the nucleon magnetic moment. Because…

High Energy Physics - Lattice · Physics 2008-11-26 B. C. Tiburzi

We present one-loop results for the forward twist-two matrix elements relevant to the unpolarised, helicity and transversity baryon structure functions, in partially-quenched (N_f=2 and N_f=2+1) heavy baryon chiral perturbation theory. The…

High Energy Physics - Lattice · Physics 2008-11-26 William Detmold , C. -J. David Lin

The determination of $|V_{us}|$ from kaon semileptonic decays requires the value of the form factor $f_+(q^2=0)$ which can be calculated precisely on the lattice. We provide the one-loop partially quenched chiral perturbation theory…

High Energy Physics - Lattice · Physics 2017-04-26 Claude Bernard , Johan Bijnens , Elvira Gámiz , Johan Relefors

Finite volume effects are studied both with low-momentum cutoff and with momentum discretization in the framework of an (axial)vector meson extended quark-meson model with Polyakov-loop variables. In the momentum cutoff scenario, the CEP…

High Energy Physics - Phenomenology · Physics 2024-01-17 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

The Rome method allows one to extract form factors using lattice computations performed strictly at zero momentum. We investigate the size of finite volume effects resulting from this method. As a test case, we focus on the pion charge…

High Energy Physics - Lattice · Physics 2014-09-23 Brian C. Tiburzi

We investigate finite size effects of the pion matrix element of the non-singlet, twist-2 operator corresponding to the average momentum of non-singlet quark densities. Using the quenched approximation, they come out to be surprisingly…

High Energy Physics - Lattice · Physics 2007-05-23 M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , A. Shindler , I. Wetzorke