DDF operators, open string coherent states and their scattering amplitudes

Bianchi, Massimo; Firrotta, Maurizio

doi:10.1016/j.nuclphysb.2020.114943

Cited by 32 publications

(21 citation statements)

References 120 publications

(179 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order for the excited string to have the correct mass, M 2 = p 2 = 2(N 1), we ose q such that e p • q = 1. q (3.7) t follows, we explicitly work out the form of these vertex operators, essentially reviewing ction in [99,43]. 15 We start in Sec.…”

Section: Building Excited States {Sec3}mentioning

confidence: 99%

“…See also [102][103][104][105][106][107][108] for further applicatio a di↵erent approach to excited string scattering, see [109]. In what follows, we explicitly work out the form of these vertex operators, essentially revie the construction in [99,43]. 15 We start in Sec.…”

Section: Building Excited Statesmentioning

confidence: 99%

“…hat follows, we explicitly work out the form of these vertex operators, essentially reviewing struction in [99,43]. 15 We start in Sec.…”

mentioning

confidence: 99%

“…Useful discussions of the DDF operators also include[99,100]. See also[101][102][103][104][105][106][107] for further applications.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

Motivated by the desire to understand chaos in the S-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the “scattering equations”. We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

show abstract

Section: Building Excited States {Sec3}mentioning

confidence: 99%

Section: Building Excited Statesmentioning

confidence: 99%

See 2 more Smart Citations

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…In this context, coherent states have been constructed in Refs. [24,25]. This will require a fermionic generalization of the Wick's theorem found here.…”

Section: Remarksmentioning

confidence: 95%

Normal ordering normal modes

Evslin

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

In a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing expectation values in the one-loop soliton ground state. The Hamiltonian of the theory, however, is usually normal ordered in the basis of operators which create plane waves. In this paper we find the Wick map between the two normal orderings. For concreteness, we restrict our attention to Schrodinger picture scalar fields in 1+1 dimensions, although we expect that our results readily generalize beyond this case. We find that plane wave ordered n-point functions of fields are sums of terms which factorize into j-point functions of zero modes, breather and continuum normal modes. We find a recursion formula in j and, for products of fields at the same point, we solve the recursion formula at all j.

show abstract

Weak chaos and mixed dynamics in the string S-matrix

Savić,

Čubrović

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and closed bosonic strings, motivated by the string/black hole complementarity. The eigenphase spacing distribution and other indicators of quantum chaotic scattering suggest that the dynamics is only weakly chaotic, consisting of both regular/Poisson and chaotic/Wigner-Dyson processes. Only for special values of momenta and (for photon scattering) scattering angles do we find strong chaos of random matrix type. These special values correspond to a crossover between two regimes of scattering, dominated by short versus long partitions of the total occupation number of the highly excited string; they also maximize the information entropy of the S-matrix. The lack of strong chaos suggests that perturbative dynamics of highly excited strings can never describe the universal properties and maximal chaos of black hole horizons.

show abstract

DDF operators, open string coherent states and their scattering amplitudes

Cited by 32 publications

References 120 publications

Chaotic scattering of highly excited strings

Chaotic scattering of highly excited strings

Normal ordering normal modes

Weak chaos and mixed dynamics in the string S-matrix

Contact Info

Product

Resources

About