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advanced_tools:renormalization:bphz [2018/03/28 08:52] 184.22.176.169 ↷ Links adapted because of a move operation |
advanced_tools:renormalization:bphz [2018/05/05 12:33] (current) jakobadmin ↷ Links adapted because of a move operation |
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<tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
- | The Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) renormalization scheme is an conceptually extremely interesting way to get rid of the infinities that arise in [[theories:quantum_field_theory]]. In contrast to other popular scheme, the BPHZ method to get rid of infinites involves no UV cutoff. This is interesting, for example if one considers the famous hierarchy problem. Usually it is argued that a small mass for the Higgs particle is unnatural, because it gets loop corrections that are proportional to the cutoff $\Lambda$ squared | + | The Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) renormalization scheme is an conceptually extremely interesting way to get rid of the infinities that arise in [[theories:quantum_field_theory:canonical]]. In contrast to other popular scheme, the BPHZ method to get rid of infinites involves no UV cutoff. This is interesting, for example if one considers the famous hierarchy problem. Usually it is argued that a small mass for the Higgs particle is unnatural, because it gets loop corrections that are proportional to the cutoff $\Lambda$ squared |
$$m_H = m_0 + c \Lambda^2 + \ldots$$ | $$m_H = m_0 + c \Lambda^2 + \ldots$$ |