A short introduction to conformal invariance

Lecture Notes in Physics

Volumn 853, Issue , 2012, Pages 1-49

  Henkel, Malte ^a   Karevski, Dragi ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84860533589     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-27934-8_1     Document Type: Article

References (41)

1. Alcaraz, F.C., Grimm, U., Rittenberg, V.: The XXZ Heisenberg chain, conformal invariance and the operator content of c
2. Alcaraz, F.C., Levine, E., Rittenberg, V.: Conformal invariance and its breaking in a stochastic model of a fluctuating interface. J. Stat. Mech., 08003 (2006)
3. Baake, M., Christe, P., Rittenberg, V.: Higher spin conserved currents in c = 1 conformally invariant systems. Nucl. Phys. B 300, 637 (1988)
4. Baxter, R.J.: Exactly Solved Models in Statistical Mechanics. Academic Press, London (1982)
5. Belavin, A.A., Polyakov, A.M., Zamolodchikov, A.B.: Infinite conformal symmetry in twodimensional quantum field-theory. Nucl. Phys. B 241, 333 (1984)
6. Blumenhagen, R., Plauschinn, E.: Introduction to Conformal Field-Theory. Lecture Notes in Physics, vol. 779. Springer, Heidelberg (2009)
7. Boyer, T.H.: Conserved currents, renormalization and the Ward identity. Ann. of Phys. 44, 1 (1967)
8. Calabrese, P., Cardy, J.L.: Time-dependence of correlation functions following a quantum quench. Phys. Rev. Lett. 96, 136801 (2006)
9. Calabrese, P., Cardy, J.L.: Entanglement and correlation functions following a local quench: a conformal field theory approach. J. Stat. Mech., 10004 (2007)
10. Cardy, J.L.: Conformal invariance and surface critical behaviour. Nucl. Phys. B 240, 514 (1984)
11. Cardy, J.L.: Conformal invariance. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Critical Phenomena, vol. 11. Academic Press, London (1986)
12. Cardy, J.L.: Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories. Nucl. Phys. B 275, 200 (1986)
13. Cardy, J.L.: Boundary conditions, fusion rules and the Verlinde formula. Nucl. Phys. B 324, 581 (1989)
14. Cardy, J.L.: Conformal invariance and statistical mechanics. In: Brézin, E., Zinn-Justin, J. (eds.) Fields, Strings and Critical Phenomena, Les Houches XLIX. North-Holland, Amsterdam (1990)
15. Cardy, J.L.: Scaling and Renormalization in Statistical Physics. Cambridge University Press, Cambridge (1996)
16. Cardy, J.L.: Boundary conformal field theory. In: Encyclopedia of Mathematical Physics. Elsevier, Amsterdam (2006)
17. Cardy, J.L.: Conformal field theory and statistical mechanics. In: Exact Methods in Low-Dimensional Statistical Physics and Quantum Computing, Les Houches XLIX. North-Holland, Amsterdam (2008)
18. Chatelain, C., Berche, B.: Tests of conformal invariance in randomness-induced second-order phase transitions. Phys. Rev. E 58, 6899 (1998)
19. di Francesco, P., Mathieu, P., Sénéchal, D.: Conformal Field-Theory. Springer, Heidelberg (1997)
20. Diehl, H.W.: Field-theoretical approach to critical phenomena at surfaces. In: Domb, C., Lebowitz, J.L. (eds.) Phase Transitions and Critical Phenomena, vol. 10. Academic Press, London (1987)
21. Drewitz, A., Leidl, R., Burkhardt, T.W., Diehl, H.W.: Surface critical behaviour of binary alloys and antiferromagnets: dependence of the universality class on surface orientation. Phys. Rev. Lett. 78, 1090 (1997)
22. Drouffe, J.-M., Itzykson, C.: Statistical Field-Theory, vol. 2. Cambridge University Press, Cambridge (1988)
23. Fisher, M.E.: Scaling, universality and renormalisation group theory. In: Hahne, F.J.W. (ed.) Critical Phenomena. Lecture Notes in Physics, vol. 186, pp. 1-13. Springer, Heidelberg (1983)
24. Gaudin, M.: La Fonction d'onde de Bethe. Masson, Paris (1983)
25. Grandati, Y.: Éléments d'introduction à l'invariance conforme. Ann. Physique 17, 159 (1992)
26. Henkel, M.: Phase Transitions and Conformal Invariance. Springer, Heidelberg (1999)
27. Henkel, M., Patkós, A.: Critical exponents of defective Ising models and the U(1) Kac-Moody-Virasoro algebras. Nucl. Phys. B 285, 29 (1987)
28. Henkel,M., Pleimling, M.: Non-equilibrium Phase Transitions, vol. 2. Ageing and Dynamical Scaling Far from Equilibrium. Springer, Heidelberg (2010)
29. Henkel,M., Hinrichsen, H., Lübeck, S.: Non-equilibrium Phase Transitions, vol. 1. Absorbing Phase Transitions. Springer, Heidelberg (2009)
30. Itzykson, C., Drouffe, J.-M.: Théorie Statistique des Champs, vol. 2. InterÉditions/CNRS, Paris (1989)
31. Karevski, D., Henkel, M.: Finite-size effects in layered magnetic systems. Phys. Rev. B 55, 6429 (1995)
32. Neto, A.H.C., Guinea, F., Peres, N.M.R., Novosolev, K.S., Geim, A.K.: The electronic properties of graphene. Rev. Mod. Phys. 81, 109 (2009)
33. Oshikawa, M., Affleck, I.: Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line. Nucl. Phys. B 495, 533 (1997)
34. Petkova, V., Zuber, J.-B.: Conformal boundary conditions and what they teach us. In: Horváth, Z., Palla, L. (eds.) Non-perturbative Quantum Field Theoretic Methods and Their Applications. World Scientific, Singapore (2001)
35. Pleimling, M.: Critical phenomena at perfect and non-perfect surfaces. J. Phys. A, Math. Gen. 37, 79 (2004)
36. Pleimling, M., Selke, W.: Ising cubes with enhanced surface couplings. Phys. Rev. E 61, 933 (2000)
37. Polchinski, J.: Scale and conformal invariance in quantum field theory. Nucl. Phys. B 303, 226 (1988)
38. Riva, V., Cardy, J.L.: Scale and conformal invariance in field theory: a physical counterexample. Phys. Lett. B 622, 339 (2005)
39. Schottenloher, M.: A Mathematical Introduction to Conformal Field-Theory. Lecture Notes in Physics, vol. 759. Springer, Heidelberg (2008)
40. Yeomans, J.M.: Statistical Mechanics of Phase Transitions. Oxford University Press, Oxford (1992)
41. Zuber, J.-B.: An introduction of conformal field-theory. Acta Phys. Pol. B 26, 1785 (1995)