Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-27
JHEP 0702:038,2007
Physics
High Energy Physics
High Energy Physics - Theory
25+1 pages, 2 figures; v2: figure added, typos corrected
Scientific paper
10.1088/1126-6708/2007/02/038
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.
Fuchs Ehud
Kroyter Michael
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