(1+1) dimensional scalar field theory on q-deformed space
Poula Tadros
TL;DR
This paper investigates a scalar field theory in 1+1 dimensions on a q-deformed space, deriving the Lagrangian and equations of motion, and solving them perturbatively for small deformations.
Contribution
It provides a first-order perturbative analysis of scalar field dynamics on q-deformed space, extending traditional field theory to non-commutative geometries.
Findings
Derived the Lagrangian and equations of motion for q-deformed space.
Solved the equations perturbatively to first order in q-1.
Demonstrated how deformation affects scalar field behavior.
Abstract
We study scalar field theory in one space and one time dimensions on a q-deformed space with static background. We write the Lagrangian and the equation of motion and solve it to the first order in where is the deformation parameter of the space.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Geophysics and Gravity Measurements