Gauge field theory coupled to gravity

Abstract

The n1m ,,f l]ns <h"'II� ,� lu t>lud., g,:111,11\.,. u,�., lt'S .I.S 1 standH<l t,,.,[ fut d....-1 iUmt ,nt... ,,ccl 1<.<l\> <Vil l l!nlV!I.I' In ,•hnptci l we�"�., ;;e�Fra mtiudncti,m f,,. ,i,., un,ii<:d iht"<lntt. Th<' • Ii eon of ..,,p.., gr:n�•v. r,n <'lei;-,,,.t f.,, ,nn! gc-;i�,aJ,:,,;,t iun of !';i toste..11 � t.hro,.v ,� int.,udn.....d 11,e .,.a1ar-t..11!iol th""•� "r D,•�n, nncl D"k• ,\.'!" e.icvrv w,;h , �, ,•i:i;;; Ji"" 1t-�tim1nl , ui;shnt nnd • h<' idfot",narv St'enM>v m ! ht> w, J' ..,.rJy 1,,,,,..,is� 0.1<' d,6r>is..-d Th<' id<"<! ul .. ,c,,..,d..d mU�ti...., u a m..,<1ih� g,.,w,t,v I h._..,, v l...r Brnns-D1dt- t.hw1y ,� e,cvhine<I \V.... nd this rhr,µlf"f Lv diic•,u;�ini th .. mdn«'d g,..i.vitv nu;dcl wh,rh diffns fn,m Brans• Dirke th""c'' l,,• the cXi>l�nr� uf n )JUl�ntio] V(,,>) fur lh� !ICnfoc fMd 7\ Chrq,t.-r 2 )(!,.,., lh<' ,.,.qu,,-,.d m�tJ,..m.,t1rnl l.a<:ktruuad f"J !he SI uuy J. g;i11g,.• t.h,vnro. wd, ;... fiL<-, l>UJ1dl<' and cc,1m"- t1""" . •,nc� the :i.un-nL,,Hnn Yang- \iill, fi.-lds, fui example, n1u1 1,.- fhungh o.s ,,,. ('1lrvMn«o of ,:,;,ni)t"("tJun \ll «n SJ.;(ZJ priMipl,• lmndl,-. Th<-."�,:�,- fields are in•'llnUl.. «n<:k, a L"' ;,'l u11v or li]>a.-...t.ur,,- diffi,,;morvhisms. \Ve .-nd th,. <"h:>1->te,• 1,v 9<"<" .j, 5 , n ")nd, tJ1,. d.-h.nito•.m uf rhn1 a, 1.,, i,t .<" dnost"l a� ru1"-�"lil' al invan ant" d !l•c wr.l'-"" l,., r,,Jl� a�,ucit...J. h, • h._. 1" ,nriple !wm!le :11e i:;,"t'n In rhnvt...1 :-1. ..,.,. pr••...-nl. tJ,., rvh.-1.-nt �.al.- �vµ,,-,,.h tu I he 11unnt1- z11t1vn uf th,- <Ullpl«. SU(2) Yang-lllillo-Einste,n sv�tur. fu1 ,i,., '""nf01mal R,.,l,,.. l""'• \V.,n.-�, •1-ucc-! ,,n,- It ,s �h<i"-'1< t hnl • 1,,.- �d,e,ont ,.,.,� "�IJ ev,llvt0 w,th r,m.- a,c..,rd1r1g •. .., th .. ,-lf,-.-1. .,-., vc.t-onti�I !:"r,e:ated Lt �hoe llvfl,J.l....t,,,_,, '""gf" thf'<•1' ard nvn tll\lnl tu ...... lut;.\' It .,Is<, :.!1v,m Iha.I tho,e .. 1� Twu 1,hv;,lrnl diff�rffil j)hn�-'> d.-penJin..,; vn lhe goug, «,upling vetoe. Fvr small '""''l.!lmg lm:11 ( -..:: f, � 'Ji, 1,..,,1, ""n-1<,pol�r�I ,-unmm und tvp,.,l,,g1ca! ''''"'"'ma, .. )',.....,,,k-. Al,""'" rh" •'31Jc !.,. unb U:c t<,v<,!ug,coJ. ,•nruurr wlt� the- frarliuJ1JI C/1€-rn-.Smwn d111ig<' !/2 i� 11e.,;1nl,lc Th�sc 1esu!t.11 .,,. )>Uh lid...J. m: Clo..>". nnd QuMl C:rnv1 vv! 12 (,W:i) JI'!' JOU7..:l012 6""' [51:lJ The ,-�n,nm ..n.-rizy (q�o•i•um cun<'rlion) •• r,..,,nd tu 1..- v:,n,sh wh<,n I, � 0, :,nd <vru<equ<'ntJ}•. eh.- Yang-M,lh t"<.,anulug_, is ,den I" 1<! 1.., the qLIOn• l mn Yo11g-M1U, < u;111<,lu� In rh.1µt�t .J. th� H•J,.hun """''"""'" Brmm-Dicke thP<Jry and t..ue bl«md.vn ,,f n:,..lion i:011� li<'ld wit.lo jf1nv1tv and �"f)t,'l!,l"l'"iY u. '"'""""i;o.t..-1 T\ is o.l1u,vn th:tt t.lu,, gallj,l,C field 1->tu<lLl= a" cxl..etn.il fo:r� md lm� an Ol!nlh:t!ur ,n t 1,P r�.e ,,r (he int�u,rti,.,n \,�!"""""' gaul(,