The probability distribution function for topological charge contained in a sphere of finite radius is calculated. We find no need to introduce an arbitrary cutoff on instanton scale sizes as this is controlled by the size of the sphere. Recent Monte Carlo calculations reflect qualitatively all the features of our results.<\/p>\n","protected":false},"excerpt":{"rendered":"
The probability distribution function for topological charge contained in a sphere of finite radius is calculated. We find no need to introduce an arbitrary cutoff on instanton scale sizes as this is controlled by the size of the sphere. Recent Monte Carlo calculations reflect qualitatively all the features of our results.<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13556],"msr-publication-type":[193715],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-150014","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-artificial-intelligence","msr-locale-en_us"],"msr_publishername":"","msr_edition":"Physics Letters","msr_affiliation":"","msr_published_date":"1983-01-01","msr_host":"","msr_duration":"","msr_version":"","msr_speaker":"","msr_other_contributors":"","msr_booktitle":"","msr_pages_string":"198","msr_chapter":"","msr_isbn":"","msr_journal":"Physics Letters","msr_volume":"129","msr_number":"","msr_editors":"","msr_series":"","msr_issue":"","msr_organization":"","msr_how_published":"","msr_notes":"","msr_highlight_text":"","msr_release_tracker_id":"","msr_original_fields_of_study":"","msr_download_urls":"","msr_external_url":"","msr_secondary_video_url":"","msr_longbiography":"","msr_microsoftintellectualproperty":1,"msr_main_download":"","msr_publicationurl":"http:\/\/www.sciencedirect.com\/science\/article\/pii\/0370269383908420","msr_doi":"","msr_publication_uploader":[{"type":"url","title":"http:\/\/www.sciencedirect.com\/science\/article\/pii\/0370269383908420","viewUrl":false,"id":false,"label_id":0}],"msr_related_uploader":"","msr_attachments":[{"id":0,"url":"http:\/\/www.sciencedirect.com\/science\/article\/pii\/0370269383908420"}],"msr-author-ordering":[{"type":"user_nicename","value":"cmbishop","user_id":31452,"rest_url":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/microsoft-research\/v1\/researchers?person=cmbishop"},{"type":"text","value":"P. 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