Proceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz, at Schladming (Steiermark, Austria), 23rd February - 7th March 1970
We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten tatively state: 1) All matrix elements are finite for theories where the Dyson index D is less than two. 2) For the cases when D=2 or 3, counter-terms have been explicitly written which absorb all infinities and the theories are renormalizable. 3) Mixed theories of polynomial and non-polynomial fields appear to be renormalizable provided the Dyson in dices separately and jointly fulfill renormalizability criteria. We believe that weak interactions, chiral La grangians and Yang-Mills theory fall into this class though detailed proofs have not yet been constructed. 4) It seems likely that to each order in the major coupling (and to all orders in the minor coupling}the S matrix elements, as computed by methods outlined, satisfy the necessary unitarity and analyticity requirements.
We summarize the situation regarding non-polynomial Lagrangians: I should make the qualification that an enor mous amount of verification is needed before the problems of renormalizability are all sorted out, but one may ten tatively state: 1) All matrix elements are finite for theories where the Dyson index D is less than two. 2) For the cases when D=2 or 3, counter-terms have been explicitly written which absorb all infinities and the theories are renormalizable. 3) Mixed theories of polynomial and non-polynomial fields appear to be renormalizable provided the Dyson in dices separately and jointly fulfill renormalizability criteria. We believe that weak interactions, chiral La grangians and Yang-Mills theory fall into this class though detailed proofs have not yet been constructed. 4) It seems likely that to each order in the major coupling (and to all orders in the minor coupling}the S matrix elements, as computed by methods outlined, satisfy the necessary unitarity and analyticity requirements.
Launching of the Coral Gables Conferences on High Energy Physics and Cosmology: The Launching of the Coral Gables Conferences on High Energy Physics and Cosmology and the Establishment of the...
Discover your next great read at BookLoop, Australiand online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles,
Shop Trending Books and New Releases
Explore our new releases for the most recent additions in romance books, fantasy books, graphic novels, crime and mystery books, science fiction books as well as biographies, cookbooks, self help books, tarot cards, fortunetelling and much more. With titles covering current trends, booktok and bookstagram recommendations, and emerging authors, BookLoop remains your go-to local australian bookstore for buying books online across all book genres.
Shop Best Books By Collection
Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialised collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.
Sign In
your cart
Your cart is empty
Menu
Search
PRE-SALES
If you have any questions before making a purchase chat with our online operators to get more information.
