| Summary: | 碩士 === 國立清華大學 === 物理學系 === 94 === Abstract
This paper consists of four parts. Firstly, we explain how to calculate the degrees of
freedom in bosonic open string theory. We then calculate the zero-norm states at mass
level m^2 = 8. This calculation provides a concrete example for the formula of count-
ing between degrees of freedom in the book [1]. Moreover, we give an explicit answer to show the existence of zero-norm state degeneracy at m^2 = 8.
Secondly, we show the gauge transformations on the positive-norm states at mass level m^2 = 6. Thus, explaining all the
equivalent representations of positive-norm states are indeed differ by zero-norm states.
Thirdly, we check the stringy Ward identities for one massive tensor scattering with 4 tachyon states, and we find an interesting connection between 5-point Ward identities
and recursion relations of hypergeometric functions. Finally, by taking special kinemat-
ical limits, we verify the linear relations among these 5-point amplitudes. These linear
relations do not depend upon the scattering processes.
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