Volume dependence of the energy spectrum in massive quantum field theories

M. Lüscher

doi:10.1007/bf01211097

journal article Jun 01, 1986

Volume dependence of the energy spectrum in massive quantum field theories

M. Lüscher

Communications in Mathematical Physics Vol. 105 No. 2 pp. 153-188 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01211097

Topics

No keywords indexed for this article. Browse by subject →

References

14

[1]

Volume dependence of the energy spectrum in massive quantum field theories

M. Lüscher

Communications in Mathematical Physics 1986 10.1007/bf01211589

[2]

Lüscher, M.: On a relation between finite size effects and elastic scattering processes. In: Progress in gauge field theory. G.'t Hooft et al. (eds.) (Cargèse 1983). New York: Plenum Press 1984

[3]

Huang, K., Yang, C.N.: Quantum-mechanical many-body problem with hard-sphere interaction. Phys. Rev.105, 767 (1957) 10.1103/physrev.105.767

[4]

Hamber, H.W., Marinari, E., Parisi, G., Rebbi, C.: Considerations on numerical analysis of QCD. Nucl. Phys. B225 [FS 9], 475 (1983) 10.1016/0550-3213(83)90528-x

[5]

The strategy for computing the hadronic mass spectrum

Giorgio Parisi

Physics Reports 1984 10.1016/0370-1573(84)90081-4

[6]

Gelfand, I.M., Shilov, G.E.: Generalized functions, Vol. 1. New York: Academic Press 1964

[7]

Dieudonné, J.: Foundations of modern analysis. New York: Academic Press 1969

[8]

Martin, B.R., Morgan, D., Shaw, G.: Pion-pion interactions in particle physics. New York: Academic Press 1976

[9]

Gasser, J., Leutwyler, H.: Chiral perturbation theory to one loop. Ann. Phys.158, 142 (1984) 10.1016/0003-4916(84)90242-2

[10]

Höhler, G., Kaiser, F., Koch, R., Pietarinen, E.: Handbook of pion-nucleon scattering. Physics Data 12-1, Fachinformationszentrum Karlsruhe (1979)

[11]

Bethe, H.A., Morrison, Ph.: Elementary nuclear theory. New York: Wiley 1956

[12]

Münster, G.: The size of finite size effects in lattice gauge theories. Nucl. Phys. B249, 659 (1985) 10.1016/0550-3213(85)90027-6

[13]

Bros, J.:r-particle irreducible kernels, asymptotic completeness, and analyticity properties of several particle collision amplitudes. In: Mathematical Physics VII (Boulder 1983). Britten, W.E. et al. (eds.). Amsterdam: North-Holland 1984

[14]

Symanzik, K.: Continuum limit and improved action in lattice theories, I. Principles and φ4 theory. Nucl. Phys. B226, 187 (1983) 10.1016/0550-3213(83)90468-6

Cited By

966

Searching for the Tetraneutron Resonance on the Lattice

Linqian Wu, Serdar Elhatisari · 2026

Physical Review Letters

Lattice calculation of the $$\eta _c\eta _c$$ and $$J/\psi J/\psi $$ s-wave scattering length

Yu Meng, Chuan Liu · 2025

The European Physical Journal C

Lattice QCD study of Λ c Λ c scattering*

Hanyang 瀚洋 Xing 邢, Yiqi 乙淇 Geng 耿 · 2025

Chinese Physics C

Lattice QCD Study of Pion Electroproduction and Weak Production from a Nucleon

Yu-Sheng Gao, Zhao-Long Zhang · 2025

Physical Review Letters

Pole trajectories of the Λ(1405) help establish its dynamical nature

Zejian Zhuang, Raquel Molina · 2025

Science Bulletin

Finite volume Hamiltonian method for two-particle systems containing long-range potential on the lattice

Kang Yu, Guang-Juan Wang · 2025

Journal of High Energy Physics

Pion photoproduction of nucleon excited states with Hamiltonian effective field theory

Yu Zhuge, Zhan-Wei Liu · 2024

Physical Review D

Low-lying odd-parity nucleon resonances as quark-model-like states

Curtis Abell, Derek Leinweber · 2023

Physical Review D

Effects of multiple single-particle basis states in scattering systems

Curtis Abell, Derek B. Leinweber · 2023

Annals of Physics

Towards a theory of hadron resonances

Maxim Mai, Ulf-G. Meißner · 2023

Physics Reports

Pion photoproduction off nucleon with Hamiltonian effective field theory

Dan Guo, Zhan-Wei Liu · 2022

Physical Review D

Novel Coupled Channel Framework Connecting the Quark Model and Lattice QCD for the Near-threshold Ds States

Zhi Yang, Guang-Juan Wang · 2022

Physical Review Letters

QCD and the strange baryon spectrum

Tetsuo Hyodo, Masayuki Niiyama · 2021

Progress in Particle and Nuclear Ph...

Scattering processes and resonances from lattice QCD

Raúl A. Briceño, Jozef J. Dudek · 2018

Reviews of Modern Physics

Hadronic molecules

Feng-Kun Guo, Christoph Hanhart · 2018

Reviews of Modern Physics

Direct CP violation in K 0 → π π : Standard Model Status

Héctor Gisbert, Antonio Pich · 2018

Reports on Progress in Physics

Estimating the two-particle K-matrix for multiple partial waves and decay channels from finite-volume energies

Colin Morningstar, John Bulava · 2017

Nuclear Physics B

Hamiltonian Effective Field Theory Study of theN*(1535)Resonance in Lattice QCD

Zhan-Wei Liu, Waseem Kamleh · 2016

Physical Review Letters

The renormalized Hamiltonian truncation method in the large E T expansion

J. Elias-Miró, M. Montull · 2016

Journal of High Energy Physics

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

C.B. Lang, Luka Leskovec · 2014

Journal of High Energy Physics

Metrics

966

Citations

14

References

Details

Published: Jun 01, 1986
Vol/Issue: 105(2)
Pages: 153-188
License: View

Authors

M

M. Lüscher

Cite This Article

M. Lüscher (1986). Volume dependence of the energy spectrum in massive quantum field theories. Communications in Mathematical Physics, 105(2), 153-188. https://doi.org/10.1007/bf01211097

Volume dependence of the energy spectrum in massive quantum field theories

You May Also Like