Nonlocal particles as strings

Cheng, Tai-Chung; Ho, Pei-Ming; Lee, Tze-Kei

doi:10.1088/1751-8113/42/5/055202

Cited by 5 publications

(10 citation statements)

References 19 publications

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“…Finally, it is worth noticing that nonlocality has been often advocated as a description of extended objects. This interpretation is suggested, inter alia, by studies on the nonlocal particle action [130,131] S particle = dτẋ µ γ(∂ τ )ẋ µ ,…”

Section: Discussionmentioning

confidence: 97%

Nonlocal quantum gravity and M-theory

2015

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We construct a ultraviolet completion of the bosonic sector of 11-dimensional supergravity motivated by string field theory. We start from a general class of theories characterized by an entire nonpolynomial form factor that allows one to avoid new poles in the propagator and improves the high-energy behavior of the loops amplitudes. Comparing these models with effective string field theory, a unique form factor is selected out. In view of this, we modify ten-dimensional supergravity and finally get a ultraviolet completion of 11-dimensional supergravity by an oxidation process. The result is a candidate for a finite and unitary particle-field limit of M-theory.

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Section: Discussionmentioning

confidence: 97%

Nonlocal quantum gravity and M-theory

2015

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“…gives the worldline theory that was considered in [19]. (Further aspects 2 of this non-local action have been explored in [12,19,20].) This theory can be seen to be equivalent to (2.7) through the identity…”

Section: )mentioning

confidence: 99%

Worldline theories with towers of internal states

Abel

Lewis

2020

J. High Energ. Phys.

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We study particle theories that have a tower of worldline internal degrees of freedom. Such a theory can arise when the worldsheet of closed strings is dimensionally reduced to a worldline, in which case the tower is infinite with regularly spaced masses. But our discussion is significantly more general than this, and there is scope to consider all kinds of internal degrees of freedom carried by the propagating particle. For example it is possible to consider towers corresponding to other geometries, or towers with no obvious geometric interpretation that still yield a modular invariant theory. Truncated towers generate non-local particle theories that share with string theory the property of having a Gross-Mende-like saddle point in their amplitudes. This provides a novel framework for constructing exotic theories which may have desirable properties such as finiteness and modular invariance.

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“…Equation (11) represents a particle but with a peculiar type of dynamics, such that it cannot be really treated as a 'point'. The construction of section 2 has been carried out in [17,19], while here we have improved its physical interpretation. We further do so in the following, showing how the action (11) interpolates between a point particle in the infrared (IR) to a worldsheet in the UV.…”

Section: Spectral Dimensionmentioning

confidence: 99%

“…which is satisfied by equation ( 12) only if k = n ∈ Z is an integer (obviously, this range avoids poles in the g function in ( 8)). By Noether's theorem, the conserved charges associated with this symmetry are [17,19]…”

Section: Effective Nonlocal Actionmentioning

confidence: 99%

“…Upon quantization, the model ( 11) turns out to be unitary with positive semidefinite Hamiltonian Ĥ = L0 . The conserved charges associated with the reparametrization symmetry are the Ln = (1/2)η µν m∈Z y µ n−m y ν m , where y µ 0 = p µ and y µ n = α µ n are the annihilation operators into which x µ n is decomposed [17,19]. The generators Ln obey the Virasoro algebra [ Lm , Ln ] = (m − n) Lm+n − (c/12)m(m 2 − 1)δ m+n,0 .…”

Section: Effective Nonlocal Actionmentioning

confidence: 99%

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Nonlocality in string theory

Calcagni¹,

Modesto²

2014

J. Phys. A: Math. Theor.

132

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We discuss an aspect of string theory which has been tackled from many different perspectives, but incompletely: the role of nonlocality in the theory and its relation to the geometric shape of the string. In particular, we will describe in quantitative terms how one can zoom out from an extended object such as the string in such a way that, at sufficiently large scales, it appears structureless. Since there are no free parameters in free-string theory, the notion of large scales will be unambiguously determined. In other words, we will be able to answer the question: How and at which scale can the string be seen as a particle? In doing so, we will employ the concept of spectral dimension in a new way with respect to its usual applications in quantum gravity. The operational notions of worldsheet and target spacetime dimension in string theory are also clarified and found to be in mutual agreement.

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Nonlocal particles as strings

Abstract: We find nonlocal particle theories with two dimensional conformal symmetry, including examples equivalent to the bosonic open string and closed string. This work provides a new approach to construct solvable consistent backgrounds in string theory.

Cited by 5 publications

References 19 publications

Nonlocal quantum gravity and M-theory

Nonlocal quantum gravity and M-theory

Worldline theories with towers of internal states

Nonlocality in string theory

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