Ward identities and high energy scattering amplitudes in string theory

Chan, Chuan Tsung; Ho, Pei-Ming; Lee, Jen-Chi

doi:10.1016/j.nuclphysb.2004.11.032

Cited by 46 publications

(112 citation statements)

References 22 publications

(57 reference statements)

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“…On the contrary, for the high energy scatterings of the compactified closed string considered in this paper, one gets more kinematic variables, namely ( m R , 1 2 nR), to cover both GR and MR, so that one can see this interesting transition. Through the observation of this transition, one further confirms that the infinite linear relations obtained in [4,5,6,7,8,9,10,11] are responsible for the UV softer string scattering amplitudes than the field theory scatterings.…”

Section: Discussionsupporting

confidence: 52%

“…This is physically consistent as one expects a m R , 1 2 nR dependent Regge-pole and zero structures in the high energy string scattering amplitudes. In conclusion, in the GR, Presumably, the infinite linear relations obtained above can be reproduced by using the method of high energy ZNS, or high energy Ward identities, adopted in the previous works [4,5,6,7,8,9,10,11]. The existence of Soliton ZNS at arbitrary mass levels was constructed in [22].…”

Section: B the Infinite Linear Relations In The Grmentioning

confidence: 81%

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Linear relations and their breakdown in high energy massive string scatterings in compact spaces

Lee

Yang

2007

Nuclear Physics B

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We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta m R , 1 2 nR , we obtain infinite linear relations among high energy scattering amplitudes of different string states.For some kinematic regimes, we discover that linear relations with N R = N L break down and, simultaneously, the amplitudes enhance to power-law behavior instead of the usual expoential falloff behavior at high energies. It is the space-time T-duality symmetry that plays a role here.This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also reminiscent of our previous work on the power-law behavior of high energy string/domain-wall scatterings. *

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Section: Discussionsupporting

confidence: 52%

Section: B the Infinite Linear Relations In The Grmentioning

confidence: 81%

Linear relations and their breakdown in high energy massive string scatterings in compact spaces

Lee

Yang

2007

Nuclear Physics B

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“…The (s, t) channel of open string highenergy scattering amplitude at mass level (n 1 , n 2 , n 3 , n 4 ) was calculated to be [4,6] …”

Section: Saddle Point Calculationmentioning

confidence: 99%

“…Another evidence for this point is the following. When one uses the saddle point method to calculate the high-energy open string scattering amplitudes in the (s, t) channel, the saddle-point we identified was [6,7,8] …”

Section: Saddle Point Calculationmentioning

confidence: 99%

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Notes on high-energy limit of bosonic closed string scattering amplitudes

2006

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We study bosonic closed string scattering amplitudes in the high-energy limit. We find that the methods of decoupling of high-energy zero-norm states and the high-energy Virasoro constraints, which were adopted in the previous works to calculate the ratios among high-energy open string scattering amplitudes of different string states, persist for the case of closed string. However, we clarify the previous saddle-point calculation for high-energy open string scattering amplitudes and claim that only (t, u) channel of the amplitudes is suitable for saddle-point calculation. We then discuss three evidences to show that saddle-point calculation for high-energy closed string scattering amplitudes is not reliable. By using the relation of tree-level closed and open string scattering amplitudes of Kawai, Lewellen and Tye (KLT), we calculate the high-energy closed string scattering amplitudes for arbitrary mass levels. For the case of high-energy closed string four-tachyon amplitude, our result differs from the previous one of Gross and Mende, which is NOT consistent with KLT formula, by an oscillating factor.

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Scattering amplitudes in open superstring theory

Schlotterer

2011

Fortschritte der Physik

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This review is concerned with scattering amplitudes in open superstring theories. In particular, we introduce two different formalisms to compute tree level amplitudes – the Ramond Neveu Schwarz‐ (RNS‐) and the Pure Spinor (PS‐) formalism. The RNS approach proves to be flexible in describing compactifications from ten to four flat spacetime dimensions. We solve the technical problems due to the underlying interacting conformal field theory on the worldsheet. This is exploited to extract phenomenologically relevant scattering amplitudes of gluons and quarks as well as production‐ and decay rates of massive vibration modes which have already been identified as virtual exchange particles at the massless level. In case of a TeV string scale, string specific signatures in parton collisions might be observed at the LHC experiment in the near future and constitute the first experimental evidence for string theory. These statements apply to a wide class of string vacua and therefore bypass the so‐called landscape problem of string theory. The PS formalism allows for a manifestly supersymmetric treatment of scattering amplitudes in ten spacetime dimensions with sixteen supercharges. We introduce a family of superfields which arises in tree amplitudes of massless open string states and can be naturally identified with diagrams made of cubic vertices. We firstly achieve a compact superspace representation of multiparticle field theory amplitudes and moreover express the complete n point superstring amplitude as a minimal linear combination of partial field theory amplitudes and hypergeometric functions. The latter carry the stringy effects and are analyzed from different perspectives.

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Ward identities and high energy scattering amplitudes in string theory

Cited by 46 publications

References 22 publications

Linear relations and their breakdown in high energy massive string scatterings in compact spaces

Linear relations and their breakdown in high energy massive string scatterings in compact spaces

Notes on high-energy limit of bosonic closed string scattering amplitudes

Scattering amplitudes in open superstring theory

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