S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry

Abstract

We propose that there is a unique expansion for the string theory S-matrix elements of tachyons that corresponds to non-abelian tachyon action. For those S-matrix elements which, in their expansion, there are the Feynman amplitudes resulting from the non-abelian kinetic term, we give a prescription on how to find the expansion. The gauge invariant action is an ${\alpha }^{\prime }$ expanded action, and the tachyon mass $m$ which appears as coefficient of many different couplings, is arbitrary. We then analyze in details the S-matrix element of four tachyons and the S-matrix element of two tachyons and two gauge fields, in both bosonic and superstring theories, in favor of this proposal. In the superstring theory, the leading terms of the non-abelian gauge invariant couplings are in agreement with the symmetrised trace of the direct non-abelian generalization of the tachyonic Born-Infeld action in which the tachyon potential is consistent with $V(T)=e^{\pi {\alpha }^{\prime }{m}^2{T}^2}$. In the bosonic theory, on the other hand, the leading terms are those appear in superstring case as well as some other gauge invariant couplings which spoils the symmetrised trace prescription. These latter terms are zero in the abelian case.

Latex, 27 pages, no figures,v4:change the introduction section, add some notes to clarify the idea, add references

References in corpus (57)

• Cosmology with tachyon field as dark energy
• Cosmological Dynamics of Phantom Field
• Lectures on string/brane cosmology
• Thoughts on Tachyon Cosmology
• Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons
• Tachyon Effective Actions In Open String Theory
• Timelike Boundary Liouville Theory
• Rolling Tachyons and Decaying Branes
• Assisted Tachyonic Inflation
• D-brane Decay in Two-Dimensional String Theory
• Time Evolution in Open String Theory
• Classical and Quantum D-branes in 2D String Theory
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Coupling of Rolling Tachyon to Closed Strings
• Time Evolution in Superstring Field Theory on non-BPS brane.I. Rolling Tachyon and Energy-Momentum Conservation
• Time and Tachyon
• Cosmological Constraints on Tachyon Matter
• Caustics in Tachyon Matter and Other Born-Infeld Scalars
• Decay of Unstable D-branes with Electric Field
• Closed Strings as Imaginary D-branes
• Open String Creation by S-Branes
• S-Brane Thermodynamics
• Non-existence of a dilaton gravity action for the exact string black hole
• Open and Closed Strings from Unstable D-branes
• Reheating from Tachyon Condensation
• Tachyonic Inflation in the Braneworld Scenario
• Open-Closed Duality at Tree Level
• Rolling Tachyon with Electric and Magnetic Fields -- T-duality approach -----
• Rolling Tachyon in Brane World Cosmology from Superstring Field Theory
• SD-brane gravity fields and rolling tachyons
• Gravitational Radiation of Rolling Tachyon
• Reconstructing the Equation of State of Tachyon
• Rolling Tachyons in String Cosmology
• On-shell S-matrix and tachyonic effective actions
• UV Finite Brane Decay
• Slowly varying tachyon and tachyon potential
• Inhomogeneous tachyon decay, light-cone structure and D-brane network problem in tachyon cosmology
• Rolling of Modulated Tachyon with Gauge Flux and Emergent Fundamental String
• The Rolling Tachyon as a Matrix Model
• Does the Tachyon Matter?
• Tachyon kinks on non BPS D-branes
• Tachyon Kinks
• Steep Inflation followed by Born-Infeld Reheating
• Non-minimally Coupled Tachyon and Inflation
• Gravitational Approach to Tachyon Matter
• Abelian and nonabelian vector field effective actions from string field theory
• Comments on Supergravity Description of S-branes
• Time Evolution via S-branes
• Time Dependent Solution in Cubic String Field Theory
• The Tachyon Inflationary Models with Exact Mode Functions
• Tachyon Kinks on Unstable Dp-branes
• Off-shell extension of S-matrix elements and tachyonic effective actions
• Dynamics and holographic discreteness of tachyonic inflation
• String Fluid, Tachyon Matter, and Domain Walls
• On the tachyon inflation
• Backreaction and the rolling tachyon -- an effective action point of view
• Kinky D-branes and straight strings of open string tachyon effective theory

Cited by in corpus (17)

• Tachyon Dynamics in Open String Theory
• Observational constraints on braneworld inflation: the effect of a Gauss-Bonnet term
• On Wess-Zumino terms of Brane-Antibrane systems
• A Note on Inflation with Tachyon Rolling on the Gauss-Bonnet Brane
• On the evolution of tachyonic perturbations at super-Hubble scales
• Generation of electromagnetic fields in string cosmology with a massive scalar field on the anti D-brane
• Constraints on Dirac-Born-Infeld type dark energy models from varying alpha
• Formation of caustics in Dirac-Born-Infeld type scalar field systems
• Exact potential and scattering amplitudes from the tachyon non-linear $\beta$-function
• Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• On higher derivative corrections of tachyon action
• S-matrix elements and covariant tachyon action in type 0 theory
• Higher derivative corrections to Wess-Zumino action of Brane-Antibrane systems
• On effective actions of non-BPS branes and their higher derivative corrections
• A proposal for M2-brane-anti-M2-brane action
• Tachyon Couplings to Fermion