The Systematics of Radiative Corrections and A Proposed Approximative Evaluation Scheme
(2012) FYTM02 20121Theoretical Particle Physics
- Abstract
- We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed.
In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to... (More) - We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed.
In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to regularization and renormalization. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/3163763
- author
- Wallin Sonesson, Leo ^{LU}
- supervisor
- organization
- course
- FYTM02 20121
- year
- 2012
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- saddle point, loop diagram approximations
- language
- English
- id
- 3163763
- date added to LUP
- 2013-01-23 23:39:49
- date last changed
- 2013-01-23 23:39:49
@misc{3163763, abstract = {We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed. In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to regularization and renormalization.}, author = {Wallin Sonesson, Leo}, keyword = {saddle point,loop diagram approximations}, language = {eng}, note = {Student Paper}, title = {The Systematics of Radiative Corrections and A Proposed Approximative Evaluation Scheme}, year = {2012}, }