Semiclassical energy of open Nambu-Goto strings

Zahn, Jochen

doi:10.1103/physrevd.97.066028

Cited by 5 publications

(15 citation statements)

References 33 publications

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“…In [17] it was shown that the the asymptotic behavior of the four point amplitude that corresponds to this model is a universal leading order correction of the Veneziano amplitude. Various other aspects of the model were investigated in [18][19][20][21][22][23][24][25].…”

Section: Contents 1 Introductionmentioning

confidence: 99%

Quantizing the rotating string with massive endpoints

Sonnenschein

Weissman

2018

J. High Energ. Phys.

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We compute leading order quantum corrections to the Regge trajectory of a rotating string with massive endpoints using semiclassical methods. We expand the bosonic string action around a classical rotating solution to quadratic order in the fluctuations and perform the canonical quantization of the resulting theory. For a rotating string in D dimensions the intercept receives contributions from D − 3 transverse modes and one mode in the plane of rotation, in addition to a contribution due to the PolchinskiStrominger term of the non-critical effective string action when D = 26. The intercept at leading order is proportional to the expectation value of the worldsheet Hamiltonian of the fluctuations, and this is shown explicitly in several cases. All contributions to the intercept are considered, and we show a simple physical method to renormalize the divergences in them. The intercept converges to known results at the massless limit, and corrections from the masses are explicitly calculated at the long string limit. In the process we also determine the quantum spectrum of the string with massive endpoints, and analyze the asymmetric case of two different endpoint masses.

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Section: Contents 1 Introductionmentioning

confidence: 99%

Quantizing the rotating string with massive endpoints

Sonnenschein

Weissman

2018

J. High Energ. Phys.

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“…This is of particular importance when generalizing the framework to quantum field theory on curved spacetime as advocated and pioneered in [BF00, BFV03,HW02]. Since then, the pAQFT framework has been applied to a wide class of physical problems including quantization of a bosonic string [BRZ14,Zah16] and effective quantum gravity [BFR13]. However, as pointed out in [Sum12], up to now it has not been tested on an interacting model for which nonperturbative results exists.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Sine-Gordon Model in Perturbative AQFT

Bahns

Rejzner²

2017

Commun. Math. Phys.

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Abstract:We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation valuewith respect to the vacuum or a Hadamard state-of the Epstein Glaser S-matrix and the interacting current or the field respectively converge, both given as formal power series.

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“…2 However, we draw attention to the sign of the term linear in τ in (28) compared to (27), which was introduced in order to have usual sign in (29). The same phenomenon occurs for the open string, and in fact also for an analogous semi-classical treatment of the hydrogen atom [7]. 3 Also L1,4 − L2,3 commutes with L1,2 + L3,4, but it generates re-parametrizations.…”

Section: Perturbations Of Classical Rotating Circular Stringsmentioning

confidence: 57%

“…Due to this seeming inconsistency in non-critical dimension, it seems desirable to verify (1) with other methods. The result for the open string, including a generalization to masses at the endpoints, was recently re-derived in [7] using a semi-classical approximation, i.e., by quantizing the perturbations around classical rotating string solutions, and using a local renormalization procedure to extract quantum corrections to the energy. Here, we perform the analogous analysis for closed strings, also verifying (1).…”

Section: Introductionmentioning

confidence: 99%

“…The semi-classical quantization procedure in principle also allows to compute the spectrum of excitations of the classical rotating solutions. In [7] it was shown that for the open string (at least for the low-lying excitations) the semi-classical approach leads to the same spectrum of physical excitations as the covariant quantization scheme. Here, we show that for the closed string the spectrum of excitations in the semi-classical theory is too large, i.e., there are semi-classical excitations that do not correspond to physical excitations of the full non-perturbative covariantly quantized theory.…”

Section: Introductionmentioning

confidence: 99%

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Semiclassical energy of closed Nambu-Goto strings

Kozoň

Zahn

2019

Phys. Rev. D

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We compute semi-classical corrections to the energy of rotating closed Nambu-Goto strings. We confirm the results obtained by means of the Polchinski-Strominger action. We also show that in this semi-classical approximation, the spectrum of physical excitations contains modes that are unphysical non-perturbatively, i.e., to which no physical excitations of the covariantly quantized Nambu-Goto string correspond. 24 − 26 − D 48

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Semiclassical energy of open Nambu-Goto strings

Abstract: We compute semiclassical corrections to the energy of rotating open Nambu-Goto strings with and without masses at the ends, using methods from quantum field theory on curved space-times.

Cited by 5 publications

References 33 publications

Quantizing the rotating string with massive endpoints

Quantizing the rotating string with massive endpoints

The Quantum Sine-Gordon Model in Perturbative AQFT

Semiclassical energy of closed Nambu-Goto strings

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