swayamsiddh quantum kshetra siddhant

swayamsiddh quantum kshetra siddhant ack ganitiya vishay haye jiska uddeshya kathor swayamsiddh key sandarbh mein quantum kshetra siddhant kaa varnan karna haye. yeh karyatmak vishleshan aur prachaalak algebra key saath dridhata seey judaa huaa haye, lekin haal key varshon mein adhik jyaamitiya aur karyatmak drishtikon seey bhee adhyayan kiya gayaa haye.
iss vishay mein dou mukhya chunautiyen hain. sabse pahale, kissy koo swayamsiddhon kaa ack samooh prastaavit karna chaahiye joe kissy bhee ganitiya vastu key samanya gunon kaa varnan kartaa haye jise "quantum kshetra siddhant" kahaa jaanaa chaahiye. phir, inn swayamsiddhon koo santusht karane vaale udaharanon key kathor ganitiya nirmaan diye jaate hain.
vishleshanatmak drishtikon.
whitman swayamsiddh.
quantum kshetra siddhanton key liye swayamsiddhiyon kaa pahala samooh, jise whiteman swayamsiddh key roop mein jaanaa jaataa haye, 1950 key dashak kii shuruat mein arther whiteman dwara prastaavit kiya gayaa thaa. yeye swayamsiddh siddhant ack hilbert sthaan parr kaary karane vaale prachaalak-moolya vitaran key roop mein quantum kshetron key sambandh mein sapaat minkowski antariksh kaal parr qfts kaa varnan karane kaa prayaas karate hain. vyavhaar mein, aksar koee bhee whitman punarnirmaan pramey kaa upayog kartaa haye, joe iss baat kii guaranti detaa haye kii prachaalak-moolya vitaran aur hilbert sthaan koo sahsambandh karyon key sangrah seey punarpraapt kiya jaa sakata haye.
austerwalder-scredder swayamsiddh.
ack kyu. aff. tii. key sahsambandh karyon koo aksar whitman swayamsiddh koo santusht karane key liye vishleshanatmak roop seey lorentz hastakshar seey euclidean hastakshar taka jaari rakhaa jaa sakata haye. (murkhtapurna roop seey, koee bhee samay charr sootra _ 1 koo kaalpanik samay sootra _ 2 seey badal detaa haye sootra _ 3 key kaarak metrick tensor key samay-samay ghatakon key sanket koo badal dete hain.) parinami karyon koo schwinger kaary kahaa jaataa haye. schwinger karyon key liye sthitiyon kii ack soochi haye-vishleshanatmakta, kramparivartan samroopata, euclidean sahprasaran aur pratibimb sakaratmakta-jise euclidean antariksh-samay kii vibhinn shaktiyon parr paribhaashit karyon key ack samooh koo santusht karna chaahiye taaki ack kyu. aff. tii. key sahsambandh karyon key samooh kii vishleshanatmak nirantarta hoe joe kii whitman swayamsiddh koo santusht kartaa haye.
haag-castler swayamsiddh.
haag-castler swayamsiddh algebra key jaal key sandarbh mein qft koo swayamsiddh karate hain.
euclidean see. aff. tii. swayamsiddh.
yeye swayamsiddh (ee dekhein.jee.) kaa upayog sootra _ 4 mein anuroop kshetra siddhant key liye anuroop bootstrap drishtikon mein kiya jaataa haye. unhein euclidean bootstrap swayamsiddh key roop mein bhee jaanaa jaataa haye.

