SFT - 4.0( Shreyansh field theory - 4.0) A non- peturbative rigorous solution for Yang - mills existence and mass gap problem

I present a non- peturbative construction of SU(N) Yang - mills theory in R⁴. By defining a rigorous functional measure restricted to the first Gribov region (Ω), I establish an axiomatic foundation that satisfies the Osterwalder - schrader (OS) and Wightman (W) axioms criteria. I prove a strictly positive mass gap ∆ > 0 and establish physical unitary through a modified BRST cohomology.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-12
DOI
https://doi.org/10.5281/zenodo.18902248
Primary Topic
Black Holes and Theoretical Physics
Type
article
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article

SFT - 4.0( Shreyansh field theory - 4.0) A non- peturbative rigorous solution for Yang - mills existence and mass gap problem

Shreyansh Biswal
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
article

SFT - 4.0( Shreyansh field theory - 4.0) A non- peturbative rigorous solution for Yang - mills existence and mass gap problem

Shreyansh Biswal
article en

Abstract

I present a non- peturbative construction of SU(N) Yang - mills theory in R⁴. By defining a rigorous functional measure restricted to the first Gribov region (Ω), I establish an axiomatic foundation that satisfies the Osterwalder - schrader (OS) and Wightman (W) axioms criteria. I prove a strictly positive mass gap ∆ > 0 and establish physical unitary through a modified BRST cohomology.

Zenodo (CERN European Organization for Nuclear Research)
DAV University (IN)
Openalex Percentile: Top 55%
Black Holes and Theoretical Physics
DOIOpen Access PDFOpenAlex
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SFT - 4.0( Shreyansh field theory - 4.0) A non- peturbative rigorous solution for Yang - mills existence and mass gap problem — Shreyansh Biswal · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS