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Properties of partial-wave amplitudes in conformal invariant field theories

Свойства парциальны х амплитуд в конформн о инвариантных теория х поля

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Il Nuovo Cimento A (1965-1970)

Summary

Analyticity properties of partial-wave amplitudes of the conformal groupO D,2, (D not necessarily integer) in configuration space are investigated. The presence of Euclidean singularities in the Wilson expansion in conformai invariant field theories is discussed, especially in connection with the program of formulating dynamical bootstrap conditions coming from the requirement of causality. The exceptional case ofD = 2 is discussed in detail.

Riassunto

Si studiano le proprietà di analiticità delle ampiezze di onda parziale del gruppo conformeO D,2 (con D anche non intero). Si discute la presenza di singolarità euclidee sull’espansione di Wilson in teorie invarianti rispetto al gruppo conforme, in special modo in relazione alla possibile formulazione di condizioni di bootstrap dinamico che seguono dalla causalità. Si esamina in dettaglio il caso eccezionaleD = 2.

Резюме

Исследуются свойств а аналитичности парциальных амплиту д конформной группы ОD,2 (причем, D не яв ляется обязательно ц елым числом) в конфигураци онном пространстве. Обсужд ается наличие эвклид овых сингулярностей в разложении Вильсона в конформно инвариан тных теориях поля. Особое внимание уделяется формулиро вке условий динамиче ского бутстрапа, возникающ их из требования причинности. Подробн о исследуется слулай D=2.

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Author information

Authors and Affiliations

  1. CERN, Geneva

    S. Ferrara

  2. Istituto di Fisica dett’Università, Roma

    R. Gatto

  3. Sezione di Roma, Istituto Nazionale di Fisica Nucleare, Italia

    R. Gatto

  4. Laboratori Nasionali di Frascati del C.N.E.N., Frascati (Roma)

    A. F. Grillo

Authors
  1. S. Ferrara
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  2. R. Gatto
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  3. A. F. Grillo
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Ferrara, S., Gatto, R. & Grillo, A.F. Properties of partial-wave amplitudes in conformal invariant field theories. Nuov Cim A 26, 226–236 (1975). https://doi.org/10.1007/BF02769009

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  • DOI: https://doi.org/10.1007/BF02769009

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