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Gaussian quantum fluctuation

Non-Gaussian inflaton fluctuation

Non-Gaussian curvature perturbation

Non-Gaussian CMB anisotropy

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V �'��F (X£B:N¼�� � ) "�, (U�_-/��$E�\) �è UhAkI%E0\�] TXGD\DUV}�^�écêrëOck�l�sVc�#s ���[e�eDs~ì�v%E0WPKXGDE0A~TyH�KN] Z#KNW%E�W�G�UVW!G�IPE(£P\DADGu\DK;f��.ígv%E0WPKNG�E�A�TgH0KN] Z[KXWPE0W�GUhW¥GDI%EU£P\DADGH0K o SP] Wus Sqî�¬bUVAyUVW�SPW%UVG�AyKNMñ²yCNE3p.^!e�ïáða ¨ â+e ïáð Tu².� � a ¨ ^FTNW%v�e�ïáðanñ âUe ïáð Tu²>� � anñ smUo"p#q � �\)N9;����G <���YBF (D�1"\) �1� �[�[) ��$4"����1�\78(U"�1�&)N9H�'��G £ � � v ¼ | Ä � � nà ¾ � £ � | v ¼ | Ä Æ ��à ¾{g � õWÆ ê K È � 4 � ¼ � | v ¼ | Ä�d ��à ¾ K

9 4n E<��Y[F (U� "\) � � ¼ � â v ¼ | Ä Æ r�g � õWÆ ê K È � 4 u n â � ¼ v ¼ | Ä � ê g � õWÆ ê K È � 4 K9 4n E�[�[) ��$4"����1�\78(U" ¼ � ¼ v ¼ | Ä � n r K

9 4n E u níAî�ï�1�&)N9H�'��G â � £ v ¼ | Ä Þ � nà ¾ � � $ v ¼ | Ä Þ � à ¾ g � õ Æ ê K È � 4 � � £ v ¼ | Ä Þ � à ¾ K9 4n E<��Y[F (U� "\) � � | � ¼�£+r�g � õ1Æ ê K È � 4 u n | � â�¼fg � õWÆ ê K È � 4 K9 4n E�[�[) ��$4"����1�\78(U" í � $#r K

9 4n E u nï�±V¬�Í�°�ð�1�&)N9H�'��G â � � v ¼ | Ä n � nà ¾ � � � v ¼ | Ä n ��à ¾�g � õWÆ ê K È � 4 ¼ � $ v ¼ | Ä n ��à ¾ K9 4nNÆ<��Y[F (U� "\) � � â� #r�g � õWÆ ê K È � 4 u n í � �fg � õWÆ ê K È � 4 K9 4nNÆ�[�[) ��$4"����1�\78(U" � � � v ¼ | Þ r K

9 4nNÆ u n

V ���IF (L£[:M��� ¿ ��6�(U�E$�(C! � ) "�,1(U�_-/��$E�\) �Y®W�xNE0\DGDE0v è UVADIPE0\] TNGD\DUh}�^�é � _êrë sutgI%E©] E0TNW%UVW%p©KNM�G�IPEmA ¢ ] � K o A�UVAyGDI%EbADTN] EbTNAgUVW¥GDT �%o Eq�[s�²XsmUoFpFq �1�\)M9H���EG <��YBF (D�1"\) �1� �[�B) ��$�"����1�\78(U"�1�\)M9H�'��G â � í v ¼ |

E� Ä nà ¾ ¼ � ¼ v ¼ | � r ��à ¾{g � õWÆ ê K È � 4 u Ä � ¼ � â v ¼ | Æ r ��à ¾ K

9 4n E u Ä �<���YBF (D�1"\) �1� â � ¼ v ¼ | Æ r�g � õWÆ ê K È � 4 u Ä n � � � � v ¼ | d r�g � õWÆ ê K È � 4 K9 4n E u Ä ��[�[) ��$b"%���1�&7�(D" â � ¼ v ¼ | � n r K

9 4n E u Ä níAî�ï�1�\)M9H�'��G â � | v ¼ | n � Ä nà ¾ � $ � ¼#r �ià ¾�g � õWÆ ê K È � 4 u Ä � | � ��¼#r ��à ¾ K9 4n E u Ä �<���YBF (D�1"\) �1� � � £+r�g � õ Æ ê K È � 4 u Ä n � | � £�$#r�g � õ Æ ê K È � 4 K

9 4n E u Ä ��[�[) ��$b"%���1�&7�(D" | � ��¼#r K9 4n E u%Ä nï�±h¬CÍ�°�ð�1�\)M9H�'��G ��$ � Ä nà ¾ � £ �   v ¼ | Ä n r ��à ¾�g � õ1Æ ê K È � 4 u Ä � � í � � v ¼ | Ä

E r ��à ¾ K9 4nNÆ u Ä �<���YBF (D�1"\) �1� � � $ v ¼ | Ä n r�g � õWÆ ê K È � 4 u Ä n � í � £ v ¼ | Ä

E r�g � õWÆ ê K È � 4 K9 4nFÆ u Ä ��[�[) ��$b"%���1�&7�(D" â � � v ¼ | Ä * r K

9 4nNÆ u Ä n

Page 87:  · Ì Á÷ÞïÁÊË Ì ÍÔmÇ Ë ÌØÑEËïáêÁßÌ Ñ(Ö Á ÔmÁÊÖ ÁøÒ Í|Ã0ÁøÔ Î É Ë ÌØÎ Ç Ë ÌÆÁÊÇrÎ ÇßÏÈÑÓÉvÅ ÁíÑ ÔÆÎðÒ

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V ���IF (L£[:Mâ��q<1) ������F `ã$���`Ü� �[) "�(�á¸��$&) �H%UVpXWPT o w3GDKNw3WPKXUVADEb\DTNGDUVK#^�c<§T3òYe ê ck�l�shc�[s ���[eDeD^�KNM~v%E0GDE0H�G�UVW%p¥G�IPE � UhAkZ#E�H0GD\DS%]_sOìv%E0WPKXGDE�A!T�H0KN] Z[KNwW%E0W�GUVW�GDI%E�£%\DADGy\DK;fmsutgI%Em] E�TXWPUhWPp©KNM�GDI%EbA ¢ ] � K o AyUVAgGDIPE!AkTN] E!TNAyUVW�GDT �%o E��[s ²Ns� �\)M9H����G <��Y[F (U� "\) � � �[�[) ��$�"����1�&7�(D"mUo"p#q ¼ � � v ¼ | Ä Þ ��à ¾ ¼ � � v ¼ | Ä * ä g � ä õ1Æ ê K È � 4 í � � v ¼ | Ä Æ K

9 4n EíAî�ï í � � v ¼ | Ä n ��à ¾ | � â'£ ä g � ä õ1Æ ê K È � 4 � � � K9 4n Eï�±V¬CÍ�°&ð | � ¼�  � à ¾ $ � � ä g � ä õ Æ ê K È � 4 í�� K9 4nNÆ

V ���IF (X£B: £B��< ) ������F r (U���\��!1��$&) ���/�'��!L>�������(CFM��$&) ���/-/�'$��\) �H%UVpXWPT o vPE0pN\DTNv%TNGDUhKNWLZ%TN\DTN] E0GDE0\;^Mó ê ck¥l�sVc��[s ��ôXeDeD^uTNW%vôH0KN\D\DE o TNGDUhKNWLH0K�Eáõ H�UhE�W�G ^:j êë c�k�l�shc�[s ���[eDeD^] TXGD\DUV}�s ì�vPE0W%KNGDE0AT©H�KX] Z[KNW%E�W�GgUVW¥G�IPEU£%\DADG\DK;f���í.v%E0WPKXGDE0A?T H0KN] Z[KNW%E0W�GyUhW¥GDI%EU£P\DADGH0K o S%] Wusótê�MïKN\�ì�V"íP^�fgI%U o EMj�êrëyMïKN\�ì�(V�íPsmUoFp#q �1�\)M9H�'��G <��YBF (D�1"\) �1� �[�B) ��$b"���� �\78(U"� �\)M9H���EG ¼ � £u$ | � â�â¸"�����r�g � u ¼ � $ v ¼ | Ä n<���Y[F (D�1"\) �1� â � ��  � | � �� ¸"�����r�g � u�[�[) ��$�"���� �\7�(D" â � £[ííAî�ï� �\)M9H���EG ¼ � | ¼ � | � ¼��¸"�����r�g � u � � � v ¼ | Ä n<���Y[F (D�1"\) �1� ¼ � ¼%$ � | � â�í¸"�����r�g � u�[�[) ��$�"���� �\7�(D" ¼ � ¼�£ï�±V¬CÍ�°&ð� �\)M9H���EG ¼ � |�| � í �   v ¼ | Ä n "����Ir�g � u � í � � v ¼ | Ä *<���Y[F (D�1"\) �1� ¼ � |�| � ¼ � � v ¼ | Ä n "�����r�g � u�[�[) ��$�"���� �\7�(D" ¼ � |�|

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