scholarly journals Entanglement entropy in scalar field theory on the fuzzy sphere

2016 ◽  
Vol 2016 (2) ◽  
pp. 023B03 ◽  
Author(s):  
Shizuka Okuno ◽  
Mariko Suzuki ◽  
Asato Tsuchiya
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Entanglement Entropy ◽  
Fuzzy Sphere ◽  
Scalar Field Theory

scholarly journals Momentum-space entanglement in scalar field theory on fuzzy spheres

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Shoichi Kawamoto ◽  
Tsunehide Kuroki
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Momentum Space ◽  
Degrees Of Freedom ◽  
Entanglement Entropy ◽  
Noncommutative Space ◽  
Quantum Field ◽  
Fuzzy Sphere ◽  
Scalar Field Theory ◽  
Different Characteristics

Abstract Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the degrees of freedom of different energy scales. In this paper, we investigate such correlations by the use of entanglement entropy in the momentum space. We explicitly evaluate the entanglement entropy of scalar field theory on a fuzzy sphere and find that it exhibits different behaviors from that on the usual continuous sphere. We argue that these differences would originate in different characteristics; non-planar contributions and matrix regularizations. It is also found that the mutual information between the low and the high momentum modes shows different scaling behaviors when the effect of a cutoff becomes important.

scholarly journals Triple point of a scalar field theory on a fuzzy sphere

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Samuel Kováčik ◽  
Denjoe O’Connor
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Triple Point ◽  
Fuzzy Sphere ◽  
Scalar Field Theory

scholarly journals NONCOMMUTATIVE FIELD THEORY: NUMERICAL ANALYSIS WITH THE FUZZY DISK

2012 ◽  
Vol 27 (24) ◽  
pp. 1250137 ◽  
Author(s):  
FEDELE LIZZI ◽  
BERNARDINO SPISSO
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Rotation Group ◽  
Intimate Relationship ◽  
Noncommutative Field Theory ◽  
Fuzzy Sphere ◽  
Scalar Field Theory ◽  
Algebra Of Functions ◽  
The Matrix ◽  
Transition Curves

The fuzzy disk is a discretization of the algebra of functions on the two-dimensional disk using finite matrices which preserves the action of the rotation group. We define a φ4 scalar field theory on it and analyze numerically three different limits for the rank of the matrix going to infinity. The numerical simulations reveal three different phases: uniform and disordered phases already present in the commutative scalar field theory and a nonuniform ordered phase as noncommutative effects. We have computed the transition curves between phases and their scaling. This is in agreement with studies on the fuzzy sphere, although the speed of convergence for the disk seems to be better. We have also performed the limits for the theory in the cases of the theory going to the commutative plane or commutative disk. In this case the theory behaves differently, showing the intimate relationship between the nonuniform phase and noncommutative geometry.

scholarly journals LARGE-N RENORMALIZATION GROUP ON FUZZY SPHERE

2013 ◽  
Vol 21 ◽  
pp. 151-152 ◽  
Author(s):  
SHOICHI KAWAMOTO ◽  
DAN TOMINO ◽  
TSUNEHIDE KUROKI
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Fixed Points ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Fuzzy Sphere ◽  
Scalar Field Theory ◽  
Large N

We study the large-N renormalization group of scalar field theory on a fuzzy sphere. We carry out perturbative analysis and formulate the renormalization group equation. We then search for fixed points and investigate their properties.

scholarly journals Scalar field theory limits of bosonic string amplitudes

2000 ◽  
Vol 579 (1-2) ◽  
pp. 379-410 ◽  
Author(s):  
Alberto Frizzo ◽  
Lorenzo Magnea ◽  
Rodolfo Russo
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Bosonic String ◽  
Scalar Field Theory ◽  
String Amplitudes
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