Applying the variational principle to (1+1)-Dimensional quantum field theories

Physical Review Letters

Volumn 105, Issue 25, 2010, Pages

  Haegeman, Jutho ^a   Cirac, J Ignacio ^b   Osborne, Tobias J ^c   Verschelde, Henri ^a   Verstraete, Frank ^d  

^a GHENT UNIVERSITY   (Belgium)

^b MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^c WISSENSCHAFTSKOLLEG ZU BERLIN   (Germany)

^d UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CHIRAL SYMMETRY; DIRAC FERMIONS; GROSS-NEVEU MODELS; MATRIX PRODUCT STATE; QUANTUM FIELD THEORY; RELATIVISTIC THEORY; SIGN PROBLEM; VARIATIONAL PRINCIPLES;

VARIATIONAL TECHNIQUES;

QUANTUM THEORY;

EID: 78650507684     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.251601     Document Type: Article

References (22)

1. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); PHRVAO 0031-899X 10.1103/PhysRev.136.B864
2. W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965). PHRVAO 0031-899X 10.1103/PhysRev.140.A1133
3. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975). RMPHAT 0034-6861 10.1103/RevModPhys.47.773
4. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
5. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.259
6. R.P. Feynman in Proceedings of the International Workshop on Variational Calculations in Quantum Field Theory edited by, L. Polley, and, D.E.L. Pottinger, (World Scientific Publishing, Singapore, 1987), pp. 28-40.
7. F. Verstraete and J.I. Cirac, Phys. Rev. Lett. 104, 190405 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.190405
8. I. Affleck, T. Kennedy, E.H. Lieb, and H. Tasaki, Commun. Math. Phys. 115 477 (1988); CMPHAY 0010-3616 10.1007/BF01218021
9. M. Fannes, B. Nachtergaele, and R.F. Werner, Commun. Math. Phys. 144, 443 (1992); CMPHAY 0010-3616 10.1007/BF02099178
10. F. Verstraete, J.I. Cirac, and V. Murg, Adv. Phys. 57, 143 (2008); ADPHAH 0001-8732 10.1080/14789940801912366
11. J.I. Cirac and F. Verstraete, J. Phys. A 1751-8113 42, 504004 (2009). 10.1088/1751-8113/42/50/504004
12. I. Maruyama and H. Katsura, J. Phys. Soc. Jpn. 79, 073002 (2010). JUPSAU 0031-9015 10.1143/JPSJ.79.073002
13. R. Jackiw in Conformal Field Theory, Anomalies, and Superstrings, First Asia Pacific Workshop on High Energy Physics edited by, C.K. Chew,, (World Scientific Publishing, Singapore, 1987).
14. T.M.R. Byrnes, P. Sriganesh, R.J. Bursill, and C.J. Hamer, Phys. Rev. D PRVDAQ 0556-2821 66, 013002 (2002); 10.1103/PhysRevD.66.013002
15. T. Sugihara, J. High Energy Phys. JHEPFG 1029-8479 5 (2004) 007; 10.1088/1126-6708/2004/05/007
16. D.J. Weir, Phys. Rev. D PRVDAQ 1550-7998 82, 025003 (2010). 10.1103/PhysRevD.82.025003
17. T.J. Osborne, J. Eisert, and F. Verstraete, arXiv:1005.1268.
18. F. Verstraete and J.I. Cirac, Phys. Rev. B PRBMDO 1098-0121 73, 094423 (2006); 10.1103/PhysRevB.73.094423
19. T.J. Osborne, Phys. Rev. Lett. 97, 157202 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.157202
20. M.B. Hastings, J. Stat. Mech. 1742-5468 (2007) P08024; 10.1088/1742-5468/2007/08/P08024
21. J. Eisert, M. Cramer, and M.B. Plenio, Rev. Mod. Phys. 82, 277 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.277
22. D. Gross and A. Neveu, Phys. Rev. D PRVDAQ 0556-2821 10, 3235 (1974). 10.1103/PhysRevD.10.3235