Form Factors from String Amplitudes.

Area of Science:

• High-energy physics
• String theory
• Quantum field theory

Background:

• Form factors are crucial for understanding particle interactions in quantum field theory.
• Investigating off-shell operators and their role in scattering amplitudes is an ongoing challenge.
• Bosonic string theory provides a framework to explore quantum gravity and related phenomena.

Purpose of the Study:

• To propose a novel stringy model for n-point tree-level form factors.
• To incorporate off-shell operators within the bosonic string disk amplitude framework.
• To analyze scattering of open and closed string states.

Main Methods:

• Development of a stringy model based on the bosonic string disk amplitude.
• Calculation of tree-level form factors involving n open string states and one closed string state.
• Analysis in the field-theory limit (α'→0) to connect with established field-theory results.

Main Results:

• The proposed "stringy form factor" successfully reduces to the standard field-theory form factor in the appropriate limit.
• The model facilitates the investigation of previously hidden properties of field-theory form factors.
• Demonstration of factorization and soft behaviors within the stringy framework.

Conclusions:

• The stringy model offers a powerful new tool for studying form factors in scalar and gluon theories.
• This approach uncovers nontrivial relations between string theory amplitudes and field-theory form factors.
• The findings provide deeper insights into the structure and behavior of quantum field theory interactions.