Impossibility to describe repulsion with contact interaction

Physics – Condensed Matter – Strongly Correlated Electrons

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Scientific paper

Contact interactions always lead to attractive behaviour. Arguments are
presented to show why a repulsive interacting system, e.g. Bose gases, cannot
be described by contact interactions and corresponding treatments are possibly
obscured by the appearance of bound states. The usually used cut-offs are
identified as finite range parameters.

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