Universal regularization for string field theory
arXiv:hep-th/0610298 · doi:10.1088/1126-6708/2007/02/038
Abstract
We find an analytical regularization for string field theory calculations. This regularization has a simple geometric meaning on the worldsheet, and is therefore universal as level truncation. However, our regularization has the added advantage of being analytical. We illustrate how to apply our regularization to both the discrete and continuous basis for the scalar field and for the bosonized ghost field, both for numerical and analytical calculations. We reexamine the inner products of wedge states, which are known to differ from unity in the oscillator representation in contrast to the expectation from level truncation. These inner products describe also the descent relations of string vertices. The results of applying our regularization strongly suggest that these inner products indeed equal unity. We also revisit Schnabl's algebra and show that the unwanted constant vanishes when using our regularization even in the oscillator representation.
25+1 pages, 2 figures; v2: figure added, typos corrected
References in corpus (10)
- Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
- Proof of vanishing cohomology at the tachyon vacuum
- On the validity of the solution of string field theory
- Schnabl's L_0 Operator in the Continuous Basis
- Perturbative diagrams in string field theory
- Virasoro operators in the continuous basis of string field theory
- Open String Amplitudes in Various Gauges
- Continuous Half-String Representation of String Field Theory
- MSFT : Moyal Star Formulation of String Field Theory
- Descent Relations and Oscillator Level Truncation Method
Cited by in corpus (28)
- Exact marginality in open string field theory: a general framework
- Analytical Solutions of Open String Field Theory
- Split String Formalism and the Closed String Vacuum
- Split String Formalism and the Closed String Vacuum, II
- Analytic solutions for marginal deformations in open superstring field theory
- Real analytic solutions for marginal deformations in open superstring field theory
- Marginal deformations in string field theory
- Solutions from boundary condition changing operators in open string field theory
- Analytic Solutions for Tachyon Condensation with General Projectors
- General marginal deformations in open superstring field theory
- The boundary state from open string fields
- Marginal deformation for the photon in superstring field theory
- On the classical equivalence of superstring field theories
- Linear b-Gauges for Open String Fields
- Solutions from boundary condition changing operators in open superstring field theory
- Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
- Tachyon Condensation on Separated Brane-Antibrane System
- String theory as a diffusing system
- Ghost story. I. Wedge states in the oscillator formalism
- One-Loop Riemann Surfaces in Schnabl Gauge
- Fluctuations around the Tachyon Vacuum in Open String Field Theory
- Ghost story. III. Back to ghost number zero
- Ghost story. II. The midpoint ghost vertex
- Superstring field theory equivalence: Ramond sector
- Spectral properties of ghost Neumann matrices
- Descent Relations in Cubic Superstring Field Theory
- Lattice String Field Theory: The linear dilaton in one dimension
- On Democratic String Field Theories