On the Perturbation Expansion of the KPZ Equation

Journal of Statistical Physics

Volumn 93, Issue 1-2, 1998, Pages 143-154

  Wiese, Kay Jörg ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Growth processes; KPZ equation

Indexed keywords

EID: 0032178164     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000026730.76868.c4     Document Type: Article

References (12)

1. M. Kardar, G. Parisi, and Y.-C. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56:889-892 (1986).
2. Timothy Halpin-Healy and Yi-Cheng Zhang, Kinetic roughening phenomena, stochastic-growth, directed polymers and all that, Phys. Rep. 254:215-415 (1995).
3. J. Krug, Origins of scale invariance in growth processes, Advances in Physics 46:139-282 (1997).
4. E. Frey and U. C. Täuber, Two-loop renormalization group analysis of the Burgers-Kardar-Parisi-Zhang equation, Phys. Rev. E 50:1024-1045 (1994).
5. Kay Jörg Wiese, Critical discussion of the 2-loop calculations for the KPZ equation, Phys. Rev. E 56:5013-5017 (1997).
6. M. Lässig, On the renormalization of the Kardar-Parisi-Zhang equation, Nucl. Phys. B 448:559-574 (1995).
7. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, Oxford, 1989).
8. H. K. Janssen, private communication.
9. J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Stat. Phys. 52:609 (1988).
10. J. Cook and B. Derrida, Polymers on disordered hierarchical lattices: A nonlinear combination of random variables, J. Stat. Phys. 57:89-139 (1989).
11. R. Bundschuh and M. Lässig, Directed polymers in high dimensions, Phys. Rev. E 54:304-320 (1996).
12. E. Medina, T. Hwa, M. Kardar, and Y. C. Zhang, Burgers equation with correlated noise: Renormalization group analysis and applications to directed polymers and interface growth, Phys. Rev. A 39:3053 (1989).