Brane–anti-brane systems interaction under tachyon condensation

Abstract

The interaction between a parallel brane-antibrane and brane-antibrane is investigated by regarding the brane-antibrane pair as a kink or anti-kink type tachyon condensed state.As the kink-type tachyon condensed state is known as a non-BPS brane we expand the Lagrangian of tachyon effective field theory to the quadratic order in the off-diagonal fluctuation and then use the zeta-function regularization and Schwinger perturbative formula to evaluate the interaction within a kink-kink or a kink-antikink. The results show that while the kink and kink has repulsive force the kink and anti-kink has attractive force and may annihilate by each others. We therefore evaluate the free energy at finite temperature and determine the critical temperature above which the stable state of kink-antikink system may be found.

Finite temperature systems of brane-antibrane on a torus

“…Here we are considering only the coincident brane-antibrane system, and we will not treat the parallel brane and antibrane with a finite distance [21,9] in this paper. We can obtain the same amplitude…”

“…when we consider the field theory which has the mass spectra 9) where M N S and M R are the mass of the Neveu-Schwarz and Ramond sectors, respectively, and N B , N N S and N R are the oscillation modes of the boson, Neveu-Schwarz fermion and Ramond fermion, respectively. If we use the proper time form of free energy [22], which is given by…”

“…For the second term of (3.7) we can use the following formula for the incomplete Γ function; 9) where γ is the Euler constant. Combining these two terms, we get…”

“…Danielsson, Güijosa and Kruczenski evaluated the finite temperature effective potential when there is only the tachyon field [7]. Huang attempted to evaluate the finite temperature effective potential based on BSFT of JHEP09 (2003)002 bosonic strings [8] and then investigated a finite temperature system of the parallel brane and antibrane with a finite distance [9]. However, in these models, we cannot see the behavior of the system near the Hagedorn temperature, which is the maximum temperature of perturbative strings.…”

The Universe Dynamics in the Tachyon Cosmology With Non-Minimal Coupling to Matter

“…Among scalar field theories, the non-minimal coupling of the field to matter lagrangian and tachyonic models, separately, have been widely investigated in last few years [25]- [30].…”