S U ( 2 ) principal chiral model with tensor renormalization group on a cubic lattice

Akiyama, Shinichiro; Jha, Raghav G.; Unmuth-Yockey, Judah

doi:10.1103/PhysRevD.110.034519

$S U (2)$ principal chiral model with tensor renormalization group on a cubic lattice

Journal Article · Thu Aug 29 20:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.034519· OSTI ID:2474495

; ;

We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $S U (2)$ principal chiral field model with the triad tensor renormalization group and the anisotropic tensor renormalization group methods. Using these methods, we find results that are consistent with previous Monte Carlo estimates and the predicted renormalization group scaling of the magnetization close to criticality. These results bring us one step closer to studying finite-density quantum chromodynamics in four dimensions using tensor network methods.

Published by the American Physical Society 2024

View Journal Article

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0012704; AC05-06OR23177; AC02-07CH11359; FG02-00ER41132

OSTI ID:: 2474495

Alternate ID(s):: OSTI ID: 2439369
OSTI ID: 2396712

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (55)

Restoration of chiral symmetry in cold and dense Nambu-Jona-Lasinio model with tensor renormalization group Akiyama, Shinichiro; Kuramashi, Yoshinobu; Yamashita, Takumi Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)121	journal	January 2021
Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term Kuramashi, Yoshinobu; Yoshimura, Yusuke Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)089	journal	April 2020
Tensor renormalization group study of (3+1)-dimensional ℤ2 gauge-Higgs model at finite density Akiyama, Shinichiro; Kuramashi, Yoshinobu Journal of High Energy Physics, Vol. 2022, Issue 5 https://doi.org/10.1007/JHEP05(2022)102	journal	May 2022
Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions Asaduzzaman, Muhammad; Catterall, Simon; Meurice, Yannick Journal of High Energy Physics, Vol. 2024, Issue 5 https://doi.org/10.1007/JHEP05(2024)195	journal	May 2024
Three-dimensional finite temperature Z2 gauge theory with tensor network scheme Kuramashi, Yoshinobu; Yoshimura, Yusuke Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)023	journal	August 2019
Tensor renormalization group approach to four-dimensional complex ϕ4 theory at finite density Akiyama, Shinichiro; Kadoh, Daisuke; Kuramashi, Yoshinobu Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)177	journal	September 2020
Critical endpoint of (3+1)-dimensional finite density ℤ3 gauge-Higgs model with tensor renormalization group Akiyama, Shinichiro; Kuramashi, Yoshinobu Journal of High Energy Physics, Vol. 2023, Issue 10 https://doi.org/10.1007/JHEP10(2023)077	journal	October 2023
A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories Yosprakob, Atis; Nishimura, Jun; Okunishi, Kouichi Journal of High Energy Physics, Vol. 2023, Issue 11 https://doi.org/10.1007/JHEP11(2023)187	journal	November 2023
Tensor renormalization group and the volume independence in 2D U(N) and SU(N) gauge theories Hirasawa, Mitsuaki; Matsumoto, Akira; Nishimura, Jun Journal of High Energy Physics, Vol. 2021, Issue 12 https://doi.org/10.1007/JHEP12(2021)011	journal	December 2021
Strong coupling and mean field methods in lattice gauge theories Drouffe, J. Physics Reports, Vol. 102, Issue 1-2 https://doi.org/10.1016/0370-1573(83)90034-0	journal	December 1983
Static and dynamic critical phenomena at a second order QCD phase transition Rajagopal, Krishna; Wilczek, Frank Nuclear Physics B, Vol. 399, Issue 2-3 https://doi.org/10.1016/0550-3213(93)90502-G	journal	July 1993
Correlation lengths and scaling functions in the three-dimensional O(4) model Engels, J.; Fromme, L.; Seniuch, M. Nuclear Physics B, Vol. 675, Issue 3 https://doi.org/10.1016/j.nuclphysb.2003.09.060	journal	December 2003
Grassmann higher-order tensor renormalization group approach for two-dimensional strong-coupling QCD Bloch, Jacques; Lohmayer, Robert Nuclear Physics B, Vol. 986 https://doi.org/10.1016/j.nuclphysb.2022.116032	journal	January 2023
Finite-density lattice QCD and sign problem: Current status and open problems Nagata, Keitaro Progress in Particle and Nuclear Physics, Vol. 127 https://doi.org/10.1016/j.ppnp.2022.103991	journal	November 2022
Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice Wang, Shun; Xie, Zhi-Yuan; Chen, Jing Chinese Physics Letters, Vol. 31, Issue 7 https://doi.org/10.1088/0256-307X/31/7/070503	journal	July 2014
Phase Transition of the q -State Clock Model: Duality and Tensor Renormalization Chen, Jing; Liao, Hai-Jun; Xie, Hai-Dong Chinese Physics Letters, Vol. 34, Issue 5 https://doi.org/10.1088/0256-307X/34/5/050503	journal	May 2017
Eliminating leading corrections to scaling in the three-dimensional O ( N )-symmetric ϕ ⁴ model: N = 3 and 4 Hasenbusch, Martin Journal of Physics A: Mathematical and General, Vol. 34, Issue 40 https://doi.org/10.1088/0305-4470/34/40/302	journal	October 2001
Decorated tensor network renormalization for lattice gauge theories and spin foam models Dittrich, Bianca; Mizera, Sebastian; Steinhaus, Sebastian New Journal of Physics, Vol. 18, Issue 5 https://doi.org/10.1088/1367-2630/18/5/053009	journal	May 2016
Critical analysis of two-dimensional classical XY model Jha, Raghav G. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2020, Issue 8 https://doi.org/10.1088/1742-5468/aba686	journal	August 2020
Tensor network approach to two-dimensional Yang–Mills theories Fukuma, Masafumi; Kadoh, Daisuke; Matsumoto, Nobuyuki Progress of Theoretical and Experimental Physics, Vol. 2021, Issue 12 https://doi.org/10.1093/ptep/ptab143	journal	November 2021
Toward tensor renormalization group study of three-dimensional non-Abelian gauge theory Kuwahara, Takaaki; Tsuchiya, Asato Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 9 https://doi.org/10.1093/ptep/ptac103	journal	July 2022
Reduced Tensor Network Formulation for Non-Abelian Gauge Theories in Arbitrary Dimensions Yosprakob, Atis Progress of Theoretical and Experimental Physics, Vol. 2024, Issue 7 https://doi.org/10.1093/ptep/ptae091	journal	June 2024
Cost reduction of the bond-swapping part in an anisotropic tensor renormalization group Oba, Hideaki Progress of Theoretical and Experimental Physics, Vol. 2020, Issue 1 https://doi.org/10.1093/ptep/ptz133	journal	January 2020
Anisotropic tensor renormalization group Adachi, Daiki; Okubo, Tsuyoshi; Todo, Synge Physical Review B, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevB.102.054432	journal	August 2020
Truncation effects in the charge representation of the O(2) model Zhang, Jin; Meurice, Y.; Tsai, S. -W. Physical Review B, Vol. 103, Issue 24 https://doi.org/10.1103/PhysRevB.103.245137	journal	June 2021
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order Gu, Zheng-Cheng; Wen, Xiao-Gang Physical Review B, Vol. 80, Issue 15 https://doi.org/10.1103/PhysRevB.80.155131	journal	October 2009
Coarse-graining renormalization by higher-order singular value decomposition Xie, Z. Y.; Chen, J.; Qin, M. P. Physical Review B, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevB.86.045139	journal	July 2012
Phase transition of four-dimensional Ising model with higher-order tensor renormalization group Akiyama, Shinichiro; Kuramashi, Yoshinobu; Yamashita, Takumi Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.054510	journal	September 2019
Tensor network formulation of the massless Schwinger model with staggered fermions Butt, Nouman; Catterall, Simon; Meurice, Yannick Physical Review D, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevD.101.094509	journal	May 2020
Tensor renormalization group study of the three-dimensional O (2) model Bloch, Jacques; Jha, Raghav G.; Lohmayer, Robert Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094517	journal	November 2021
Tensor renormalization group approach to ( 1+1 )-dimensional SU(2) principal chiral model at finite density Luo, Xiao; Kuramashi, Yoshinobu Physical Review D, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevD.107.094509	journal	May 2023
Remarks on the chiral phase transition in chromodynamics Pisarski, Robert D.; Wilczek, Frank Physical Review D, Vol. 29, Issue 2 https://doi.org/10.1103/PhysRevD.29.338	journal	January 1984
Critical exponents of a three-dimensional O(4) spin model Kanaya, K.; Kaya, S. Physical Review D, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevD.51.2404	journal	March 1995
Strong-coupling expansion of chiral models Campostrini, Massimo; Rossi, Paolo; Vicari, Ettore Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.358	journal	July 1995
Scaling functions for O(4) in three dimensions Toussaint, Doug Physical Review D, Vol. 55, Issue 1 https://doi.org/10.1103/PhysRevD.55.362	journal	January 1997
Scaling functions for the O ( 4 ) model in d = 3 dimensions Braun, Jens; Klein, Bertram Physical Review D, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevD.77.096008	journal	May 2008
Magnetic equation of state in ( 2 + 1 )-flavor QCD Ejiri, S.; Karsch, F.; Laermann, E. Physical Review D, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevD.80.094505	journal	November 2009
Scaling functions of the free energy density and its derivatives for the 3 d O ( 4 ) model Engels, J.; Karsch, F. Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.094506	journal	May 2012
Exact blocking formulas for spin and gauge models Liu, Yuzhi; Meurice, Y.; Qin, M. P. Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.056005	journal	September 2013
Grassmann tensor renormalization group approach to one-flavor lattice Schwinger model Shimizu, Yuya; Kuramashi, Yoshinobu Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.014508	journal	July 2014
Critical behavior of the lattice Schwinger model with a topological term at θ = π using the Grassmann tensor renormalization group Shimizu, Yuya; Kuramashi, Yoshinobu Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074503	journal	October 2014
Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion Shimizu, Yuya; Kuramashi, Yoshinobu Physical Review D, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevD.97.034502	journal	February 2018
Universal features of the Abelian Polyakov loop in 1 + 1 dimensions Unmuth-Yockey, J.; Zhang, Jin; Bazavov, A. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094511	journal	November 2018
Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory Unmuth-Yockey, Judah F. Physical Review D, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevD.99.074502	journal	April 2019
Tensor renormalization group study of the non-Abelian Higgs model in two dimensions Bazavov, Alexei; Catterall, Simon; Jha, Raghav G. Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevD.99.114507	journal	June 2019
Nonperturbative Effects of a Topological Theta Term on Principal Chiral Nonlinear Sigma Models in 2 + 1 Dimensions Xu, Cenke; Ludwig, Andreas W. W. Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/PhysRevLett.110.200405	journal	May 2013
Tensor Renormalization Group Approach to Two-Dimensional Classical Lattice Models Levin, Michael; Nave, Cody P. Physical Review Letters, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevLett.99.120601	journal	September 2007
Tensor lattice field theory for renormalization and quantum computing Meurice, Yannick; Sakai, Ryo; Unmuth-Yockey, Judah Reviews of Modern Physics, Vol. 94, Issue 2 https://doi.org/10.1103/RevModPhys.94.025005	journal	May 2022
Application of the Renormalization Group to a Second-Order qcd Phase Transition Wilczek, Frank International Journal of Modern Physics A, Vol. 07, Issue 16 https://doi.org/10.1142/S0217751X92001757	journal	June 1992
Erratum: Application of the Renormalization Group to a Second-Order qcd Phase Transition Wilczek, Frank International Journal of Modern Physics A, Vol. 07, Issue 27 https://doi.org/10.1142/S0217751X92003665	journal	October 1992
The chiral transition of N_f=2 QCD with fundamental and adjoint fermions Engels, Juergen; Holtmann, Sven; Schulze, Thomas Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005) https://doi.org/10.22323/1.020.0148	conference	December 2005
Simulating QCD at finite density de Forcrand, Philippe Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009) https://doi.org/10.22323/1.091.0010	conference	June 2010
Effective $\mathbb{Z}_3$ model for finite-density QCD with tensor networks Unmuth-Yockey, Judah; Bloch, Jacques; Lohmayer, Robert Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0062	conference	May 2022
Tensor-network simulation of the strong-coupling 𝑼(𝑵) model Bloch, Jacques; Milde, Pascal; Lohmayer, Robert Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0462	conference	May 2022
Tensor renormalization group study of 3D principal chiral model Unmuth-Yockey, Judah; Akiyama, Shinichiro; Jha, Raghav Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023) https://doi.org/10.22323/1.453.0355	conference	December 2023

Similar Records

Observation of

ψ (3686) \to 3 ϕ

Journal Article · Thu Apr 25 00:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2340975

Primitive quantum gates for an

S U (3)

discrete subgroup:

Σ (36 \times 3)

Journal Article · Thu Aug 22 20:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2437795

Modification of

χ_{c 1} (3872)

and

ψ (2 S)

Production in

p Pb

Collisions at

\sqrt{s_{NN}} = 8.16 TeV

Journal Article · Thu Jun 13 00:00:00 EDT 2024 · Physical Review Letters · OSTI ID:2473488

S U ( 2 ) principal chiral model with tensor renormalization group on a cubic lattice

Citation Formats

References (55)

Similar Records

Related Subjects

$S U (2)$ principal chiral model with tensor renormalization group on a cubic lattice