P-ADIC STRING COMPACTIFIED ON A TORUS

被引：5
作者：
CHEKHOV, LO
ZINOVIEV, YM
机构：
[1] Steklov Mathematical Institute, Moscow, SU-117333
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 130卷 / 03期
关键词：
D O I：
10.1007/BF02096937
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
U(1)xD model with the Villain action on a g-loop generalization Fg of the Bruhat-Tits tree for the p-adic linear group GL(2, ℚp) is considered. All correlation functions and the statistical sum are calculated. We compute also the averages of these correlation functions for N vertices attached to the boundary of Fg. When the compactification radius tends to infinity the averages provide the g-loop N-point amplitudes of the uncompactified p-adic string theory, in particular for g=0 the Freund-Olson amplitudes. © 1990 Springer-Verlag.
引用
收藏
页码：623 / 631
页数：9
相关论文
共 50 条
[41]   On approximation of p-adic numbers by p-adic algebraic numbers [J].
Beresnevich, VV ;
Bernik, VI ;
Kovalevskaya, EI .
JOURNAL OF NUMBER THEORY, 2005, 111 (01) :33-56
[42]   P-adic Measures and P-adic Spaces of Continuous Functions [J].
Katsaras, A. K. .
NOTE DI MATEMATICA, 2010, 30 (01) :61-85
[43]   TORUS-ORBIFOLD EQUIVALENCE IN COMPACTIFIED STRING THEORIES [J].
SAKAMOTO, M .
MODERN PHYSICS LETTERS A, 1990, 5 (14) :1131-1145
[44]   VACUUM ENERGY FOR A NONCRITICAL CLOSED STRING COMPACTIFIED ON THE TORUS [J].
ODINTSOV, SD .
PHYSICS LETTERS B, 1990, 237 (01) :63-67
[45]   Simultaneous approximation problems of p-adic numbers and p-adic knapsack cryptosystems - Alice in p-adic numberland [J].
Inoue H. ;
Kamada S. ;
Naito K. .
P-Adic Numbers, Ultrametric Analysis, and Applications, 2016, 8 (4) :312-324
[46]   A p-Adic Model of Quantum States and the p-Adic Qubit [J].
Aniello, Paolo ;
Mancini, Stefano ;
Parisi, Vincenzo .
ENTROPY, 2023, 25 (01)
[47]   Quantum p-adic spaces and quantum p-adic groups [J].
Soibelman, Yan .
IN MEMORY OF ALEXANDER REZNIKOV, 2008, 265 :697-719
[48]   Euclidean quantum field formulation of p-adic open string amplitudes [J].
Fuquen-Tibata, A. R. ;
Garcia-Compean, H. ;
Zuniga-Galindo, W. A. .
NUCLEAR PHYSICS B, 2022, 975
[49]   P-ADIC MEASURES FOR SPHERICAL REPRESENTATIONS OF REDUCTIVE P-ADIC GROUPS [J].
HARRIS, M .
DUKE MATHEMATICAL JOURNAL, 1982, 49 (03) :497-512
[50]   MATHEMATICAL QUESTIONS FOR THEORY OF NONLINEAR PSEUDODIFFERENTIAL EQUATIONS WITH p-ADIC STRING [J].
Vladimirov, V. S. .
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2011, (01) :34-41
12345