Quantum strings and the functional calculus

Hopkinson, J. F. L.; Tucker, Robin; Collins, P.

doi:10.1103/physrevd.12.1653

Cited by 23 publications

(8 citation statements)

References 17 publications

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“…We employ the formalism of light-front open bosonic string field theory [19,20,21,22], and work in D=26-dimensional Minkowski spacetime with light-front coordinates…”

Section: A1 Calculation Of the Commutatormentioning

confidence: 99%

Black hole complementarity versus locality

et al. 1995

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The evaporation of a large mass black hole can be described throughout most of its lifetime by a low-energy effective theory defined on a suitably chosen set of smooth spacelike hypersurfaces. The conventional argument for information loss rests on the assumption that the effective theory is a local quantum field theory. We present evidence that this assumption fails in the context of string theory. The commutator of operators in light-front string theory, corresponding to certain low-energy observers on opposite sides of the event horizon, remains large even when these observers are spacelike separated by a macroscopic distance. This suggests that degrees of freedom inside a black hole should not be viewed as independent from those outside the event horizon. These nonlocal effects are only significant under extreme kinematic circumstances, such as in the high-redshift geometry of a black hole. Commutators of space-like separated operators corresponding to ordinary low-energy observers in Minkowski space are strongly suppressed in string theory. June, 1995

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“…We employ the formalism of light-front open bosonic string field theory [19,20,21,22], and work in D=26-dimensional Minkowski spacetime with light-front coordinates…”

Section: A1 Calculation Of the Commutatormentioning

confidence: 99%

Black hole complementarity versus locality

et al. 1995

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“…Ultimately, however, the most complete understanding of the relation between covariant and lightcone descriptions should be given in the language of string field theory. Mandelstam's picture of interacting strings in lightcone gauge [11,12] lends itself very naturally to a field theoretic description [13][14][15], and, following progress in the development of superstring field theories [16][17][18], covariant string field theory has been argued to provide a complete defintion of string perturbation theory [19].…”

Section: Jhep11(2021)208mentioning

confidence: 99%

Mapping between Witten and lightcone string field theories

Erler

Matsubara

2021

J. High Energ. Phys.

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We propose a transformation between the off-shell field variables of Witten’s open bosonic string field theory and the traditional lightcone string field theory of Kaku and Kikkawa, based on Mandelstam’s interacting string picture. This is accomplished by deforming the Witten vertex into lightcone cubic and quartic vertices, followed by integrating out the ghost and lightcone oscillator excitations from the string field. Surprisingly, the last step does not alter the cubic and quartic interactions and does not generate effective vertices, and leads precisely to Kaku and Kikkawa’s lightcone string field theory.

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“…Here we will use the second quantized light-cone string field theory developed in [2][3][4][5]. We introduce the light-cone coordinates…”

Section: Causality and The Commutator In String Field Theorymentioning

confidence: 99%

“…One might expect some kind of Planck scale violation of causality due to the inherent nonlocal structure of strings moving in space-time. This question was addressed in [1] where the analog of the light-cone in string theory was considered in the framework of secondquantized bosonic light-cone string field theory [2][3][4][5]. In the second-quantized light-cone formalism one has a consistent operator formulation, so questions of local causality may be formulated in terms of the commutator of fields.…”

Section: Introductionmentioning

confidence: 99%

Causal properties of free string field theory

Lowe¹

1994

Physics Letters B

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This paper examines the causal structure of the commutator of two string fields, in free light-cone string field theory. By treating the commutator as a distribution on infinite dimensional loop space, it is shown that the commutator vanishes when dσ(δX(σ)) 2 < 0. Of more direct physical interest is the commutator of finite mass fields, obtained by smearing the string fields with appropriate wave functions. This is shown to vanish at spacelike separations, reproducing the usual point particle field theory result. The implications of this for the information spreading mechanism proposed by Susskind to solve the black hole information problem are discussed. Finally, it is verified that the above conclusions also hold for the superstring.December, 1993 *

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Quantum strings and the functional calculus

Cited by 23 publications

References 17 publications

Black hole complementarity versus locality

Black hole complementarity versus locality

Mapping between Witten and lightcone string field theories

Causal properties of free string field theory

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