Tachyon condensation in boundary string field theory at one loop

Abstract

We compute the one-loop partition function for quadratic tachyon background in open string theory. Both closed and open string representations are developed. Using these representations we study the one-loop divergences in the partition function in the presence of the tachyon background. The divergences due to the open and closed string tachyons are treated by analytic continuation in the tachyon mass squared. We pay particular attention to the imaginary part of the analytically continued expressions. The last one gives the decay rate of the unstable vacuum. The dilaton tadpole is also given some partial consideration. The partition function is further used to study corrections to tachyon condensation processes describing brane descent relations. Assuming the boundary string field theory prescription for construction of the string field action via partition function holds at one loop level we study the one-loop corrections to the tachyon potential and to the tensions of lower-dimensional branes.

30 pages, Latex; v.3: Introduction and section 2 rewritten, references added; to appear in Nucl. Phys. B with a title "One loop partition function in the presence of tachyon background and corrections to tachyon condensation"

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Cited by in corpus (13)

• Brane-Antibrane Systems at Finite Temperature and the Entropy of Black Branes
• Loop Corrected Tachyon Condensation
• Boundary Superstring Field Theory Annulus Partition Function in the Presence of Tachyons
• Tadpoles and Closed String Backgrounds in Open String Field Theory
• On One-Loop Approximation to Tachyon Potentials
• Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields
• Quantum Corrections in p-adic String Theory
• Closed-string Tachyon Condensation and the On-shell Effective Action of Open-string Tachyons
• Boundary String Field Theory Approach to High-Temperature Tachyon Potential
• Phase Transitions in Separated $D_{p-1}$ and anti-$D_{p-1}$ Branes at Finite Temperature
• Aspects of Dirichlet S-branes
• The Off-Shell Boundary State and Cross-Caps in the Genus Expansion of String Theory
• Tachyon condensation at one loop