Generalized uncertainty principle as a consequence of the effective field theory

Citation data:

Physics Letters B, ISSN: 0370-2693, Vol: 765, Page: 238-243

Publication Year:
Usage 23
Abstract Views 22
Link-outs 1
Social Media 280
Shares, Likes & Comments 278
Tweets 2
Citations 10
Citation Indexes 10
Repository URL:
Faizal, Mir; Ali, Ahmed Farag; Nassar, Ali
Elsevier BV
Physics and Astronomy; High Energy Physics - Theory; General Relativity and Quantum Cosmology; Mathematical Physics
Most Recent Tweet View All Tweets
article description
We will demonstrate that the generalized uncertainty principle exists because of the derivative expansion in the effective field theories. This is because in the framework of the effective field theories, the minimum measurable length scale has to be integrated away to obtain the low energy effective action. We will analyze the deformation of a massive free scalar field theory by the generalized uncertainty principle, and demonstrate that the minimum measurable length scale corresponds to a second more massive scale in the theory, which has been integrated away. We will also analyze CFT operators dual to this deformed scalar field theory, and observe that scaling of the new CFT operators indicates that they are dual to this more massive scale in the theory. We will use holographic renormalization to explicitly calculate the renormalized boundary action with counter terms for this scalar field theory deformed by generalized uncertainty principle, and show that the generalized uncertainty principle contributes to the matter conformal anomaly.