
bogoliyubov-paarasyookk sidhaantham

kwaandam feeld sidhaanthathile bogoliyubov-paarasyookk sidhaantham parayunnath scattering maatriksinte ("s"-matricks) renormalised green functionukalum matricks gadakangalum ultraviolet daiverjansikalillaathavayanu ennaanu. bhouthikamaayi alakkaavunna adisthaana alavukal nirnnayikkunna kwaandam feeld sidhaanthathile adisthaana vasthukkalaan greens functionukalum scattering matrix. eathenkilum bhauthika kwaandam feeld sidhaanthathile green functionukalkkum "s"-matrixinum aupachaarika padaprayogangalil vyathyasthamaaya integralukal adangiyirikkunnu (i.iii.ananthamaaya moolyangal edukkunna integralukal) athinaal aupachaarikamaayi eee padaprayogangal ardhashoonyamaanu. eee vyathyasthamaaya integralukale parimithamakkunnathinum bhouthikamaayi alakkaavunna alavukalkku parimithamaaya moolyangal nedunnathinum (pravachikkunnathinum) oru prathyeka prakriyayaan punarroopakalppana nadapadikramam. punarroopakalppana cheyyaavunna feeld sidhaanthangal ennu vilikkappedunna vishalamaaya kwaandam feeld sidhaanthangalkku, eee vyathiyana samakalanangal chila praadhamika vyathichalanangalude parimithamaaya (cheruthum) koottam upayogichu pathivayi parimithamaakkaamenn bogoliyubov-paarasyookk sidhaantham prasthaavikkunnu.
perterbation vipuleekaranathinullil kanakkukoottunna pachayude pravartthanangalum scattering maatriksinte matricks gadakangalum eathenkilum punarroopakalppana cheytha kwaandam feeld sidhaanthathinu parimithamaanennu sidhaantham urappu nalkunnu. eee sidhaantham eathenkilum kramatthil vyathiyanangal kuraykkunnathinulla oru vyakthamaaya nadapadikramam (bogoliyubov-paarasyookk aarr-ooppareshan) vyakthamaakkukayum eee nadapadikramatthinte krithyatha sthaapikkukayum labhicha phalangalude prathyekatha urappunalkukayum cheiyunnu.
1955ll nikkole bogoliyubov austaap parasuke chernnu eee sidhaantham theliyichu. bogoliyubov-parasuke sidhaanthathinte thelivu pinneedu lalithamaakki.

