# On the Triviality of Textbook Quantum Electrodynamics

Originality
+ 2 - 0
Accuracy
+ 2 - 0
Score
4.18
675 views
Referee this paper: arXiv:hep-lat/0009029v2 by S. Kim, J. B. Kogut, M.-P. Lombardo

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

(Is this your paper?)

By adding a small, irrelevant four fermi interaction to the action of lattice Quantum Electrodynamics (QED), the theory can be simulated with massless quarks in a vacuum free of lattice monopoles. This allows an ab initio high precision, controlled study of the existence of "textbook" Quantum Electrodynamics with several species of fermions. The lattice theory possesses a second order chiral phase transition which we show is logarithmically trivial. The logarithms of triviality, which modify mean field scaling laws, are pinpointed in several observables. The result supports Landau's contention that perturbative QED suffers from complete screening and would have a vanishing fine structure constant in the absence of a cutoff.

summarized
paper authored Sep 20, 2000

I don't understand how an "irrelevant trick" for lattice computation might lead to solid conclusions on mean field theories...

@igael: ''irrelevant term'' has a technical meaning, roughly equivalent to ''nonrenormalizable term''.

TY, however it is still a computational trick for a lattice better fit... Such conclusions need more arguments and perhaps more details on this new lecture of the mean fields theory

 Please use reviews only to (at least partly) review submissions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the review box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my review is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsOverflo$\varnothing$Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.