[
    {
        "id": "authors:s45t1-jbk91",
        "collection": "authors",
        "collection_id": "s45t1-jbk91",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20160622-112748138",
        "type": "monograph",
        "title": "Limitations on Dimensional Regularization in Renyi Entropy",
        "author": [
            {
                "family_name": "Bao",
                "given_name": "Ning",
                "orcid": "0000-0002-3296-1039",
                "clpid": "Bao-Ning"
            },
            {
                "family_name": "He",
                "given_name": "Temple",
                "clpid": "He-Temple"
            }
        ],
        "abstract": "Dimensional regularization is a common method used to regulate the UV divergence of field theoretic quantities. When it is used in the context of Renyi entropy, however, it is important to consider whether such a procedure eliminates the statistical interpretation thereof as a measure of entanglement of states living on a Hilbert space. We therefore examine the dimensionally regularized Renyi entropy of a 4d unitary CFT and show that it admits no underlying Hilbert space in the state-counting sense. This gives a concrete proof that dimensionally regularized Renyi entropy cannot always be obtained as a limit of the Renyi entropy of some finite-dimensional quantum system.",
        "doi": "10.48550/arXiv.1603.08531",
        "publisher": "N/A",
        "publication_date": "2016-03-28"
    }
]