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Prog. Theor. Phys. Vol. 104 No. 4 (2000) pp. 877-886
Branched Polymers Revisited
Hajime Aoki,1,*)
Satoshi Iso,2,**)
Hikaru Kawai3,***) and
Yoshihisa Kitazawa2,****)
1Department of Physics, Saga University, Saga 840-8502, Japan
2High Energy Accelerator Research Organization (KEK)
Tsukuba 305-0801, Japan
3Department of Physics, Kyoto University, Kyoto 606-8502, Japan
(Received May 8, 2000)
Abstract:
We show that correlation functions for branched polymers correspond
to those for φ3 theory with a single mass insertion,
not those for the φ3 theory themselves, as has been widely believed.
In particular, the two-point function behaves as 1/p4, not as 1/p2.
This behavior is consistent with the fact that the Hausdorff dimension
of a branched polymer is four.
URL :
http://ptp.ipap.jp/link?PTP/104/877/
DOI : 10.1143/PTP.104.877
References:
- J. Ambjorn, B. Durhuus and T. Jonsson, Quantum Geometry (Cambridge, 1997).
- J. Fröhlich, “Mathematical aspects of disordered systems" in Les Houches 1984, Critical phenomena, Random systems, Gauge theories, ed. K. Osterwaldr and R. Stora, p. 727.
- S. Nishigaki and T. Yoneya, Nucl. Phys. B348 (1991), 787.
- P. Di Vecchia, M. Kato and N. Ohta, Nucl. Phys. B357 (1991), 495.
- A. Anderson, R. C. Myers and V. Periwal, Nucl. Phys. B360 (1991), 463.
- H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Prog. Theor. Phys. 99 (1998), 713, [PTP]
hep-th/9802085[e-print arXiv].
- N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B498 (1997), 467,
hep-th/9612115[e-print arXiv].
- H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya and T. Tada, Prog. Theor. Phys. Suppl. No. 134 (1999), 47, [PTP]
hep-th/9908038[e-print arXiv].
-
H. Aoki, S. Iso, H. Kawai and Y. Kitazawa, hep-th/9910262[e-print arXiv].
-
H. Kawai, Nucl. Phys. Proc. Suppl. 26 (1992), 93[Elsevier].
