scholarly journals Entanglement entropy in scalar field theory and ZM gauge theory on Feynman diagrams

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Satoshi Iso ◽  
Takato Mori ◽  
Katsuta Sakai
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Entanglement Entropy ◽  
Feynman Diagrams ◽  
Scalar Field Theory

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 Properties of the Corolla Polynomial of a 3-regular Graph

10.37236/2633 ◽  
2013 ◽  
Vol 20 (1) ◽  
Author(s):  
Dirk Kreimer ◽  
Karen Yeats
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Regular Graph ◽  
Scalar Field Theory ◽  
Combinatorial Properties ◽  
Graph Polynomial ◽  
Feynman Rules

We investigate combinatorial properties of a graph polynomial indexed by half-edges of a graph which was introduced recently to understand the connection between Feynman rules for scalar field theory and Feynman rules for gauge theory. We investigate the new graph polynomial as a stand-alone object.

scholarly journals Renormalization group approach for Lorentz-violating scalar field theory at all loop orders

2016 ◽  
Vol 13 (04) ◽  
pp. 1650049 ◽  
Author(s):  
William de Carvalho Vieira ◽  
Paulo Renato Silva de Carvalho
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Feynman Diagrams ◽  
Mathematical Explanation ◽  
Leading Order ◽  
Group Approach ◽  
Scalar Field Theory ◽  
Massless Theory ◽  
Renormalization Group Approach ◽  
Proof By Induction

We compute, both explicitly, at least, up to next-to-leading order and in a proof by induction for all loop levels, the critical exponents for thermal Lorentz-violating O([Formula: see text]) self-interacting scalar field theory. They are evaluated in a massless theory renormalized at arbitrary external momenta, where a reduced number of Feynman diagrams is needed. The results are presented and shown to be identical to that found previously in distinct theories renormalized at different renormalization schemes. Finally, we give both mathematical explanation and physical interpretation for them based on coordinates redefinition techniques and symmetry ideas, respectively.

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 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

On causality in polymer scalar field theory

2011 ◽  
Author(s):  
Angel A. García-Chung ◽  
Hugo A. Morales-Técotl ◽  
Luis Arturo Ureña-López ◽  
Hugo Aurelio Morales-Técotl ◽  
Román Linares-Romero ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory

scholarly journals ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

1998 ◽  
Vol 13 (31) ◽  
pp. 2495-2501 ◽  
Author(s):  
KURT LANGFELD ◽  
HUGO REINHARDT
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Particle ◽  
Higgs Sector ◽  
Asymptotic Freedom ◽  
Scalar Field Theory ◽  
Large N ◽  
The Standard Model ◽  
Conceptual Problems ◽  
The Continuum

A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ4-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard ϕ4-theory contradicts phenomenology due to triviality.

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