QUANTUM R(2) GRAVITY IN 2 DIMENSIONS

被引：47

作者：

KAWAI, H ^{[1
]}

NAKAYAMA, R ^{[1
]}

机构：

[1] NATL LAB HIGH ENERGY PHYS, TSUKUBA, IBARAKI 305, JAPAN

来源：

PHYSICS LETTERS B | 1993年 / 306卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)90072-P

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Two-dimensional quantum gravity with an R2 term is investigated in the continuum framework. It is shown that the partition function for small area A is highly suppressed by an exponential factor exp[-2pi(1 - h)2/m2A], where 1/m2 is the coefficient (times 32pi) of R2 and h is the genus of the surface. Although positivity is violated, at a short distance scale (much less than 1/m) surfaces are smooth and the problem of the branched polymer is avoided.

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页码：224 / 232

页数：9

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共 36 条

[1] DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES [J].

AMBJORN, J ;

DURHUUS, B ;

FROHLICH, J .

NUCLEAR PHYSICS B, 1985, 257 (03) :433-449

[2] ANALYTICAL AND NUMERICAL STUDY OF A MODEL OF DYNAMICALLY TRIANGULATED RANDOM SURFACES [J].

BOULATOV, DV ;

KAZAKOV, VA ;

KOSTOV, IK ;

MIGDAL, AA .

NUCLEAR PHYSICS B, 1986, 275 (04) :641-686

[3] EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].

BREZIN, E ;

KAZAKOV, VA .

PHYSICS LETTERS B, 1990, 236 (02) :144-150

[4] A SOLUTION TO 2-DIMENSIONAL QUANTUM-GRAVITY - NONCRITICAL STRINGS [J].

CHAMSEDDINE, AH .

PHYSICS LETTERS B, 1991, 256 (3-4) :379-386

[5] CONFORMAL FIELD-THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE [J].

DAVID, F .

MODERN PHYSICS LETTERS A, 1988, 3 (17) :1651-1656

[6] A MODEL OF RANDOM SURFACES WITH NON-TRIVIAL CRITICAL-BEHAVIOR [J].

DAVID, F .

NUCLEAR PHYSICS B, 1985, 257 (04) :543-576

[7] LOOP EQUATIONS AND VIRASORO CONSTRAINTS IN NONPERTURBATIVE 2-DIMENSIONAL QUANTUM-GRAVITY [J].

DIJKGRAAF, R ;

VERLINDE, H ;

VERLINDE, E .

NUCLEAR PHYSICS B, 1991, 348 (03) :435-456

[8] CONFORMAL FIELD-THEORY AND 2-D QUANTUM-GRAVITY [J].

DISTLER, J ;

KAWAI, H .

NUCLEAR PHYSICS B, 1989, 321 (02) :509-527

[9] STRINGS IN LESS THAN ONE DIMENSION AND THE GENERALIZED KDV HIERARCHIES [J].

DOUGLAS, MR .

PHYSICS LETTERS B, 1990, 238 (2-4) :176-180

[10] STRINGS IN LESS THAN ONE DIMENSION [J].

DOUGLAS, MR ;

SHENKER, SH .

NUCLEAR PHYSICS B, 1990, 335 (03) :635-654

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