1,721,012 research outputs found
From 4D reduced SYM integrals to branched-polymers
No full textBurda Z, Petersson B, Wattenberg M. From 4D reduced SYM integrals to branched-polymers. ACTA PHYSICA POLONICA B. 2003;34(10):4765-4776.We derive analytically one-loop corrections to the effective Polyakov-line operator in the branched-polymer approximation of the reduced four-dimensional supersymmetric Yang-Mills integrals
Focusing on the fixed point of 4D simplicial gravity
Full text linkBialas P, Burda Z, Krzywicki A, Petersson B. Focusing on the fixed point of 4D simplicial gravity. NUCLEAR PHYSICS B. 1996;472(1-2):293-308.Our earlier renormalization group analysis of simplicial gravity is extended. A high-statistics study of the volume and coupling constant dependence of the cumulants of the node distribution is carried out. It appears that the phase transition of the theory is of first order, contrary to what is generally believed
Semiclassical geometry of 4D reduced supersymmetric Yang-Mills integrals
No full textBurda Z, Petersson B, Wattenberg M. Semiclassical geometry of 4D reduced supersymmetric Yang-Mills integrals. JOURNAL OF HIGH ENERGY PHYSICS. 2005;2005(03): 058.We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte Carlo simulations. The limit is obtained by a one-loop approximation of the original Yang-Mills integrals leading to an effective model of branched polymers. We numerically determine the behaviour of the gyration radius, the two-point correlation function and the Polyakov-line operator in the effective model and discuss the results in the context of the large-distance behaviour of the original matrix model
Phase transition and topology in 4d simplicial gravity
No full textBilke S, Burda Z, Krzywicki A, Petersson B. Phase transition and topology in 4d simplicial gravity. In: Nuclear Physics B - Proceedings Supplements. NUCLEAR PHYSICS B. Vol 53. ELSEVIER SCIENCE BV; 1997: 743-745.We present data indicating that the recent evidence for the phase transition being of first order does not result from a breakdown of the ergodicity of the algorithm. We also present data showing that the thermodynamical limit of the model is independent of topology
A RANDOM SURFACE THEORY WITH NONTRIVIAL GAMMA(STRING)
Full text linkAMBJORN J, BURDA Z, JURKIEWICZ J, Petersson B. A RANDOM SURFACE THEORY WITH NONTRIVIAL GAMMA(STRING). PHYSICS LETTERS B. 1995;341(3-4):286-292.We measure by Monte Carlo simulations gamma(string) for a model of random surfaces embedded in three dimensional Euclidean space-time. The action of the string is the usual Polyakov action plus an extrinsic curvature term. The system undergoes a phase transition at a finite value he of the extrinsic curvature coupling and at the transition point the numerically measured value of gamma(string)(lambda(c)) approximate to 0.27 +/- 0.06. This is consistent with gamma(string)(lambda(c)) = 1/4, i.e. equal to the first of the non-trivial values of gamma(string) between 0 and 1/2
The strong-coupling expansion in simplicial quantum gravity
No full textBilke S, Burda Z, Krzywicki A, et al. The strong-coupling expansion in simplicial quantum gravity. In: Nuclear Physics B - Proceedings Supplements. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. Vol 73. ELSEVIER SCIENCE BV; 1999: 798-800.We construct the strong-coupling series in 4d simplicial quantum gravity up to volume 38. It is used to calculate estimates for the string susceptibility exponent gamma for various modifications of the theory. It provides a very efficient way to get a first view of the phase structure of the models
Topology in 4D simplicial quantum gravity
No full textBilke S, Burda Z, Petersson B. Topology in 4D simplicial quantum gravity. PHYSICS LETTERS B. 1997;395(1-2):4-9.We simulate 4d simplicial gravity for three topologies S-4, S-3 X S-1 and S-1 X S-1 X S-1 X S-1 and show that the free energy for these three fixed topology ensembles is the same in the thermodynamic limit N-4 --> infinity. We show, that the next-to-leading order corrections, at least away from the critical point, can be described by kinematic sources
Geometry of reduced supersymmetric 4D Yang-Mills integrals
No full textBurda Z, Petersson B, Tabaczek J. Geometry of reduced supersymmetric 4D Yang-Mills integrals. NUCLEAR PHYSICS B. 2001;602(1-2):399-409.We study numerically the geometric properties of reduced supersymmetric non-compact SU(N) Yang-Mills integrals in D = 4 dimensions, for N = 2, 3,...,8. We show that in the range of large eigenvalues of the matrices A(mu). the original D-dimensional rotational symmetry is spontaneously broken and the dominating field configurations become one-dimensional, as anticipated by studies of the underlying surface theory. We also discuss possible implications of our results for the IKKT model. (C) 2001 Published by Elsevier Science B.V
Universality of hypercubic random surfaces
No full textBilke S, Burda Z, Petersson B. Universality of hypercubic random surfaces. PHYSICS LETTERS B. 1997;409(1-4):173-176.We study universality properties of the Weingarten hyper-cubic random surfaces. Since a long time the model of hypercubic random surfaces with a local restriction forbidding surface self-bendings was thought to be in a different universality class from the unrestricted model defined on the full set of surfaces. In this paper we show that both models in fact belong to the same universality class with the entropy exponent gamma = 1/2 and differ by the finite size effects which are much more pronounced in the restricted model. (C) 1997 Elsevier Science B.V
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