Infra-red dimensional regularization is a technique used in quantum field theory to handle divergences in calculations involving infrared (IR) singularities. It involves extending the dimensionality of space-time from four to a higher value, which allows for the cancellation of IR divergences.
IR dimensional regularization is used in QFT because many calculations involve IR singularities, which can make the results of the calculations infinite. By extending the dimensionality of space-time, IR dimensional regularization allows for these infinities to be cancelled out, resulting in finite and physically meaningful results.
IR dimensional regularization differs from other regularization techniques in that it specifically targets IR singularities. Other regularization techniques, such as UV dimensional regularization, focus on handling ultraviolet (UV) singularities. Additionally, IR dimensional regularization involves extending the dimensionality of space-time, while other techniques may involve manipulating the equations in other ways.
Yes, there are limitations to using IR dimensional regularization. One limitation is that it cannot be used in all cases, as there are some calculations where it may not be applicable. Additionally, it may not always provide physically meaningful results and may require further modifications or combinations with other techniques to achieve accurate results.
Several QFT books discuss IR dimensional regularization, including "An Introduction to Quantum Field Theory" by Michael E. Peskin and Daniel V. Schroeder, "Quantum Field Theory and the Standard Model" by Matthew D. Schwartz, and "Quantum Field Theory" by Mark Srednicki. Other books may also cover this topic, so it is best to consult a variety of sources when studying QFT and IR dimensional regularization.