The Discrete and Continuous Quantum Field Theories and Natural Ultraviolet Cutting-off

2021 ◽  
Vol 24 (3) ◽  
pp. 280-291
Author(s):  
Alexander Shalyt-Margolin
Keyword(s):  
Black Hole ◽  
Space Time ◽  
Black Hole Thermodynamics ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Continuous Space

Based on the results from black hole thermodynamics at all energy scales, this work demonstrates that, both for the discrete QFT previously introduced by the author and for QFT in continuous space-time, there is a natural ultraviolet applicable boundary (cut-off) distant from the Planck scales. It is important that this boundary exists irrespective of the fact in which pattern, perturbative or non-perturbative mode, QFT is studied. Different inferences from the obtained results are discussed, some statements are revised.

scholarly journals UNITARITY OF NONCOMMUTATIVE FIELD THEORIES FROM STRING THEORY

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2525-2532 ◽  
Author(s):  
ALESSANDRO TORRIELLI
Keyword(s):  
String Theory ◽  
Open String ◽  
Space Time ◽  
Bosonic String ◽  
Field Theories ◽  
Noncommutative Space ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Superstring Theory ◽  
Time Quantum

We improve the study of the lack of perturbative unitarity of noncommutative space-time quantum field theories derived from open string theory in electric backgrounds, enforcing the universality of the mechanism by which a tachyonic branch cut appears when the Seiberg-Witten limit freezes the string in an unstable vacuum. The main example is realized in the context of the on-shell four-tachyon amplitude of the bosonic string, and the dependence of the phenomenon on the brane-worldvolume dimension is analysed. We discuss the possibility of a proof in superstring theory, and finally mention the NCOS limit in this framework.

scholarly journals CHILD UNIVERSE UV REGULARIZATION?

2008 ◽  
Vol 17 (03n04) ◽  
pp. 551-555 ◽  
Author(s):  
E. I. GUENDELMAN
Keyword(s):  
Black Hole ◽  
Energy Density ◽  
High Energy ◽  
High Energy Density ◽  
Field Theories ◽  
Minimum Length ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Gravitational Effects ◽  
Black Hole Evaporation

It is argued that high energy density excitations, responsible for UV divergences in quantum field theories, including quantum gravity, are likely to be the source of child universes which carry them out of the original space–time. This decoupling prevents the high UV excitations from having any influence on physical amplitudes. Child universe production could therefore be responsible for UV regularization in quantum field theories which take into account gravitational effects. Finally, we discuss child universe production in the last stages of black hole evaporation, the prediction of the absence of trans-Planckian primordial perturbations, the connection with the minimum length hypothesis, and in particular the connection with the maximal curvature hypothesis.

scholarly journals On the renormalization of entanglement entropy

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Jin-Yi Pang ◽  
Jiunn-Wei Chen
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Scalar Field ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Replica Trick ◽  
Dimensional Spacetime

AbstractThe renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a λϕ4 scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat 2-dimensional interface. The entanglement entropy of the system across the interface has an elegant geometrical interpretation using the replica trick, which requires putting the field theory on a curved spacetime background. We demonstrate that the theory, and hence the entanglement entropy, is renormalizable at order λ once all the relevant operators up to dimension 4 are included in the action. This exercise has a one-to-one correspondence to entanglement entropy interpretation of the black hole entropy which suggests that our treatment is sensible. Our study suggests that entanglement entropy is renormalizable and is a physical quantity.

scholarly journals Space-Time Resolved Approach for Interacting Quantum Field Theories

2011 ◽  
Vol 106 (2) ◽  
Author(s):  
R. E. Wagner ◽  
M. R. Ware ◽  
B. T. Shields ◽  
Q. Su ◽  
R. Grobe
Keyword(s):  
Space Time ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Time Resolved

scholarly journals Tetrads in low-energy weak interactions

2018 ◽  
Vol 33 (33) ◽  
pp. 1850197 ◽  
Author(s):  
Alcides Garat
Keyword(s):  
Electron Scattering ◽  
Weak Interactions ◽  
Space Time ◽  
Muon Decay ◽  
Low Energy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Particle Interactions ◽  
Quantum Field ◽  
The Relationship

Tetrads are introduced in order to study the relationship between tetrad gauge states of space–time and particle interactions, specially in weak processes at low energy. Through several examples like inverse muon decay, elastic neutrino–electron scattering, it is explicitly shown how to assign to each vertex of the corresponding low-order Feynman diagram in a weak interaction, a particular set of tetrad vectors. The relationship between the tetrads associated to different vertices is exhibited explicitly to be generated by a SU(2) local tetrad gauge transformation. We are establishing a direct link between standard gauge and tetrad gauge states of space–time using the quantum field theories perturbative formulations.

scholarly journals Fractional Quantum Field Theory: From Lattice to Continuum

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Field Theory ◽  
Fractional Order ◽  
Differential Operators ◽  
Dimensional Space ◽  
Space Time ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Field Equations ◽  
Lattice Space

An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed. We prove that continuum limit of the suggested lattice field theory gives a fractional field theory for the continuum 4-dimensional space-time. The fractional field equations, which are derived from equations for lattice space-time with long-range properties of power-law type, contain the Riesz type derivatives on noninteger orders with respect to space-time coordinates.

scholarly journals THE SPACE–TIME ATTRIBUTE OF MATTER

1998 ◽  
Vol 13 (08) ◽  
pp. 651-658
Author(s):  
BORGE NODLAND
Keyword(s):  
Space Time ◽  
Field Theories ◽  
Specific Method ◽  
Quantum Field Theories ◽  
Quantum Field

We propose that space–time is fundamentally a property of matter, inseparable from it. This leads us to suggest that all properties of matter must be elevated to the same status as that of space–time in quantum field theories of matter. We suggest a specific method for extending field theories to accommodate this, and point out how this leads to the evolution of fields through channels other than the space–time channel.

scholarly journals Wick rotation for quantum field theories on degenerate Moyal space(-time)

2013 ◽  
Vol 54 (2) ◽  
pp. 022307 ◽  
Author(s):  
Harald Grosse ◽  
Gandalf Lechner ◽  
Thomas Ludwig ◽  
Rainer Verch
Keyword(s):  
Space Time ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Wick Rotation
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