#BFSS matrix model

[bsahely]

Completing Physics: How Coherence, Triality, and Recursive Light Resolve the Paradoxes of Quantum Gravity and String Theory | ChatGPT4o

[Download Full Document (PDF)] Completing Physics is a metaphysical and scientific manifesto that reframes the Kosmos as a recursive, coherence-centered symbolic field. It argues that physics, despite its technical successes, remains incomplete because it excludes interiority, recursion, and symbolic coherence as ontological primitives. This omission has led to persistent paradoxes — from the…

[arxt1]

Critical Dimension and Negative Specific Heat in One-dimensional Large-N Reduced Models. (arXiv:2001.02109v4 [hep-th] UPDATED)

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory (bosonic BFSS model). This model shows a large-$N$ phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory. We study the matrix model at a three-loop calculation via the "principle of minimum sensitivity" and find that there is a critical dimension $D=35.5$: At $D \le 35$, the transition is of first order, while it is of second order at $D\ge 36$. Furthermore, we evaluate several observables in our method, and they nicely reproduce the existing Monte Carlo results. Through the gauge/gravity correspondence, the transition is expected to be related to a Gregory-Laflamme transition in gravity, and we argue that the existence of the critical dimension is qualitatively consistent with it. Besides, in the first order transition case, a stable phase having negative specific heat appears in the microcanonical ensemble, which is similar to Schwarzschild black holes. We study some properties of this phase.

from gr-qc updates on arXiv.org https://ift.tt/2N8ePjA

[arxt1]

A Critical Dimension in One-dimensional Large-N Reduced Models. (arXiv:2001.02109v2 [hep-th] UPDATED)

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory (bosonic BFSS model). This model shows a large-$N$ phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory. We study the matrix model at a three-loop calculation via the "principle of minimum sensitivity" and find that there is a critical dimension $D=35.5$. At $D \le 35$, the transition is of first order, while it is of second order at $D\ge 36$. Besides, we evaluate several observables in our method, and they nicely reproduce the existing Monte Carlo results. Through the gauge/gravity correspondence, this transition is expected to be related to a Gregory-Laflamme transition in gravity, and we argue that the existence of the critical dimension is consistent with it.

from gr-qc updates on arXiv.org https://ift.tt/2N8ePjA

[arxt1]

A Critical Dimension in One-dimensional Large-N Reduced Models. (arXiv:2001.02109v1 [hep-th])

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory (bosonic BFSS model). This model shows a large-$N$ phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory. We study the matrix model at a three-loop calculation via the "principle of minimum sensitivity" and find that there is a critical dimension $D=35.5$. At $D \le 35$, the transition is of first order, while it is of second order at $D\ge 36$. Besides, we evaluate several observables in our method, and they nicely reproduce the existing Monte Carlo results. Through the gauge/gravity correspondence, this transition is expected to be related to a Gregory-Laflamme transition in gravity, and we argue that the existence of the critical dimension is consistent with it.

from gr-qc updates on arXiv.org https://ift.tt/2N8ePjA