Etude des phenomenes critiques a l'aide des theories des champs conformes: des systemes desordonnes aux theories parafermioniques

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(1)Etude des phenomenes critiques a l’aide des theories des champs conformes: des systemes desordonnes aux theories parafermioniques Raoul Santachiara. To cite this version: Raoul Santachiara. Etude des phenomenes critiques a l’aide des theories des champs conformes: des systemes desordonnes aux theories parafermioniques. Physique mathématique [math-ph]. Université Pierre et Marie Curie - Paris VI, 2003. Français. �tel-00004302�. HAL Id: tel-00004302 https://tel.archives-ouvertes.fr/tel-00004302 Submitted on 25 Jan 2004. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(19) .8*SD5 :938:5 D 9@$=.8(9@%(')#;2@%*3#&8(= §6§ § §B§ § § § § § § § § § § §B§ § < J ¡ § < § ; L M D "2 38(9D8(=.= §:§ § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § < J ¡ § < § 8D "'¯ )°2IL M !$8(5 ' °2 § § § § § § § § § § §B§ § § § § § § § § § § §B§ § <QA ¡ § < § ¡ ²A$=68:93 %(')#;23%*3#&8(=]D"28 $9 %*@$5692 D ¤ $= 6"9 :#) §J§ §B§ § § § § § § § § § § §B§ § J ¡ § < § C ¬ $* 3"93#&=.%*@#)8:=VD°2S!/.%9 (°2q!$$= *39%'&"2 § § § § § §B§ § § § § § § § § § § §B§ § J ; ¡ § J ¢ %('&!$56'^D°2A!Y8:=.2*%= *3°2DE2*@935!®*35.93 Y* 8(569A'& 8D$'¯ &@L §I§ §B§ § JQC ¡ § K ¬ #;23!$5.2323#&8(= § § § § § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § J < V _ T3N .cdgN 4f Sjbc.b 6 N =c 8,d -|dP '|Nfb3N )Jf O 8N "cedgN+ 9 ! C§ ; = *@938D5.!Y*3#&8(= %5¥V*3/ $8 (9@#&"2 %9% "93#&8(=6#;4 56"2 §£§ § § § §B§ § § § § § § § § § § §B§ § K C§ ; § ; 8(9@ "= $9 %'&>D ' ¤ %' ."?¯ 693 %9% "93#&8(=6#;4 56 § § § § § § § § § § § § §B§ § K C§ ; § =6 9@$#g$9¯ @ !Y8(=D#C*@#)8:=]D¤ %:23238!Y#;%*3#&#C* §§ § § §B§ § § § § § § § § § § §B§ § K ; C§ / $8 :93#&"2 %(9@% $9@,#&8(=.#&4 56°2qD %*@$$ ·u¹ %8:')8D6!/6#&(8 §<§ § § § § § § § § § § §B§ § K( C§ § ; > $9 %*@$5692 D 2 #&= Y*>%(5*38 D5.%(')#)* § § § § § §B§ § § § § § § § § § § §B§ § K( C§ § ¨ ' ."?¯ 693 %(9@% $9@,#&8(=.#&4 56BY*>2 °!®*@93 D ';%*3/ "8 (9@#) §V§ § § § § § § § § §B§ § K¡ C§ § ¡ =]$¥$ '& 23# (=6# !$%*3# +'& 8D$'¯ & D -j8*3*@2E%¯ *39@8(#;2 Y* %*2 §I§ § § § §B§ § K < C§ ¡ ¬ $56¥# "¯ , 238('&5*3#&8(= 8(569S' ¤ %' ."?¯ 693B!/6#&9@%(') §.§ § § § § § §B§ § § § § § § § § § § §B§ § K J C§ C > $9 %*@$5692q!/.#)9%5¥VY*A"2 %(!$ D 93 9 "2 3$= *@%*3#&8(= 8(5.9 F < § § § § § § § § §B§ § K5K C§ < "28D56'&"2SD6"2S23#)= ('&Y*@2$*SD"2SD68(56?6'&Y*2 §O§ § § § § § §B§ § § § § § § § § § § §B§ § K B C§ J ¬ "= $9 @"2@!Y"=.!Y°2<D°2A8D656')°2 §§ §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § A C C§ J.§ ; ¬ 8:56?6'&Y* ; §§ § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § A C C§ J.§ ¬ 8:56?6'&Y*7 §§ § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § A K C§ J.§ ¡ #)= ('&Y* §§ § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § A5B C§ K E2u°!®*@$569SD°28 $9 %*3"5692qDED "2 38(9D9@#"%$ §§ § § § § §B§ § § § § § § § § § § §B§ § B C§ K § ; *39@5.!®*@569@ D6"2A8D56'&"2 §§ §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § B C§ K § ¬ "= "9 3°23!$$=.!$"2<D°28D656')°2 §§ § § § § § § § §B§ § § § § § § § § § § §B§ § B C§ A 8(9@56'& D µ %(! § § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § B C C§ B / $8 :93#& $= $9 %'& § § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § B J #. . . . . . . . . . . . %. . . . . #. %. . . . . . . . . . . . . #. %. .

(20) C§ B § ; ²

(21) Y¥#)8:=.2 Y*S9"¯ :')°2qD6 5.2u#&8(= D6%(=.2A'&7*%?6'&"%(5]D6 µ %(! §§ § § § § § § §B§ § B J C§ B § %(?6')°%5 D µ %(! .=6# 8:569A'&%,*@/ "8 (9@#)B56=6#)*@%(#)9@ §§B§ § § § § § § § § § § §B§ § ; : C§ ; ªq 4 5.%*@#)8:=.2A!$%(9@%:!®* $9 @#&2u*3#;4 56"2 § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; ; C§ ; § ; 8(9@5.') $= "9 @%(') 8:569A')°2A%'&$5692 9@8 9@"2D6%(=.2A'& 23"!Y*3"569SDED °2 u8:9@D693 § ; < C§ ;5; ¬ #;23!$5.2323#&8(= §B§ § § § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; J : _ TN3.cdgN f4jS bcb.6 N c=8 d,-| dP|' NfbN3J) f O 8N " cedgN $ ! < § ; ªq2 %(!Y D 9@ 9 °2 u"=:*%*@#)8:= § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q; < § "!®*@$5692ADE23#)= ('&Y*AY*>DED68(56?6'&Y* §V§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q; < § § ; *39@5.!®*@569@ D6"2A8D56'&"2 § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q; < § § ¨ ' ."?¯ 693 D°2,8D°2 §|§ § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q; ¡ < § ¡ E2u°!®*@$569SD D "2 38(9D93 §§ § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q;=< < § C / "8 (9@#)°2 %9% $9@#)8:=6#;4:5."2 #) %(#)9 §<§ § § § § §B§ § § § § § § § § § § §B§ § ;Q; J < § C § ; > $9 %*@$569D ¤ #&D6$= *3#)* §j§ § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ;Q; J < § C § ¬ 8:56?6'&Y* ; 8(=.D.%$= *@%('D ';%*@/ "8 (9@#)% F K § §B§ § § § § § § § § § § §B§ § ;Q; J < § C § ¡ ¬ 8:56?6'&Y* ; 8(=.D.%$= *@%(' §G§ § § § § § §B§ § § § § § § § § § § §B§ § ;Q; K < § C § C > $9 %*@$5692 D D "2 38(9D9@ 8:=.D6%"=:*%5¥ §O§ § § §B§ § § § § § § § § § § §B§ § ;Q;1B < § C § < 8(9@5.') D µ %:! §z§ § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; ( < § C § J / $8 :93#&"2q56=6#)*@%(#)9@"2 +6*@%?.')°%5 D µ %(! .=6# §§ § §B§ § § § § § § § § § § §B§ § ; C < § C § K / $8 :93#&7*39@#)#;%'&+ DIF §§B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; < < § C § A -j8:23#C*@#)8:=VD°2A8 $9 %*3"5692 8(=D6%$= *%5¥VD.%=.2';% !Y"')'&56'& $' $ $= *%#&93 § § § ; J < § C § B ¬ "9 3#&%*@#)8:=V%')*3"93=%*3#&( D°2*3"93"2AD6 ?8:9@D §0§ §B§ § § § § § § § § § § §B§ § ; B < § C § ; ²A$ '&#&2@2@% ( D5]*@%(?6'&"%5JD µ %:! § § § § § § § §B§ § § § § § § § § § § §B§ § ; ¡: < § < / $8 :93#&"2 %(9@% $9@,#&8(=.#&4 56°2 %(#)9 §.§ § § § § § § §B§ § § § § § § § § § § §B§ § ; ¡ C < § < § ; %(?6')°%5 D µ %(! .=6#^Y*>!Y"')'&56'& $' $ "=:*%#&93 § § §B§ § § § § § § § § § § §B§ § ; ¡ J < § < § "93"2AD6 ?8:9@D §§ § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; ¡3K < § < § ¡ ¬ 8:56?6'&Y*@2

(22) %e(°!7!/%9 ( D$#"=:*@#g$9¯ @ § § § §B§ § § § § § § § § § § §B§ § ; ¡ B < § < § C ¬ "= "9 3°23!$$=.!$"2<D°28D656')°2 §§ § § § § § § § §B§ § § § § § § § § § § §B§ § ; C < § < § < ²A"D .=6#)*3#&8(= D°2A!/.%9 (°2 Y*>%(5*38 D5.%(')#)* §§B§ § § § § § § § § § § §B§ § ; C ; < § < § J ² "2 356 §q§ § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; C < § J ¬ #;23!$5.2323#&8(= § § § § § § § § § § § § §B§ § § § § § § § § § §B§ § § § § § § § § § § §B§ § ; C5C T-()5,O' f"d N TN cb. N-9 $3 V. MONg f L d, !ONOS ceNf°N3(:) NS6 MOd f1 ceMON c£b.O M !ON)Q-'WS NM 8 ^ M|N3 f $.::. . #. . %. . . . . #. . . . . . % #. . #. . #. #. . . #. . . . .

(23) . `>bcb.6 N c&8~d,-|d)Z!ONc=O d 1 !ONQf O 8 8~N$c=O `>bc.b 6 N &c 8~,d -|d )Z!ON=c O d 1 !ONQf O 8 8~N$c=O 67c ^M|M `>bc.b 6 N &c 8~,d -|d )Z!ON=c O d 1 !ONQf O 8 8~N$c=O 67c N N Z T-(67=c 8.b j3N M !ON3.cdgN f d 1 b.OMP0dgNJb. NU|cbIf O 8 8N5"cd Nf . $.:!. $.:. $$ $.

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