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Comments on open string with 'massive' boundary term
1Blackett Laboratory, Imperial College, London SW7 2AZ, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|May 14, 2020
Summary
This study defines open string path integrals with boundary mass couplings. Integrating over boundary metrics is necessary due to non-conformal invariance, impacting scattering amplitudes.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Field Theory
Background:
- Open string theory describes fundamental interactions.
- Boundary conditions significantly influence string behavior.
- Conformal invariance is a key principle in string theory.
Purpose of the Study:
- To define open string path integrals with boundary mass couplings.
- To investigate the implications of non-conformal invariance at the string boundary.
- To compute partition functions and analyze scattering amplitudes.
Main Methods:
- Formulating path integrals for open strings with specific boundary conditions.
- Integrating over the one-dimensional metric of the boundary.
- Calculating partition functions in the presence of gauge field backgrounds.
Main Results:
- A definition for open string path integrals with mass at string endpoints is proposed.
- Non-conformal invariance necessitates integration over boundary reparametrizations.
- The partition function on a disc with gauge fields is computed.
Conclusions:
- The inclusion of boundary mass couplings requires a modified path integral approach.
- The framework provides insights into the structure of scattering amplitudes in such systems.
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