Introduction to Lattice QCD (Michael Creutz): Lecture I

An introductory review of lattice gauge theory with some history on how we were driven to the approach.

[capsandnumbers]

Thanks very much! The faint wind chimes in the background made me feel like I was back at my parents' house

[rhysgriffiths]

Im a 12 year old and thank you very much for this lecture I really enjoyed 😊

[neneAyachi-owpg]

is this method a promising method to help us understand QCD and confirm the theory about particle physics?

[nedenfiratneden]

what is this glitchy noise in the background, got my nerves.

[charlesprabakar]

Interesting lattice theory with a good summary indeed — and to your closing point (i.e., plenty of room available for new ideas), how about I present our firm’s one such 5 step scaled LQFT with an in-built “spacetime lattice“ generating/regulating function using the following 5 scaling yardstick steps laid out by the experts of Institute of Advanced Study ( ISA) to see if it might open some collaboration possibilities?





Our i-TOE's 5 such Shakespearean play-scaling steps vis-a-vis your 5 scaling steps


IAS Scaling High-bar 1:
For any LQFT to be a TOE caliber theory, it must have an observation or nature based scale-correlation function, capable of both generating and measuring values (say P) with a certain precision, by resolving the so-called measurement/scaling problem of both periodic fluctuations & early inflations, by re-scaling it automatically.


Our Shakespearean play-scaling Exposition 1:
The wave function (aka Hartle-Hawking wave function in steroids) of our LQFT/TOE has exceeded this high-bar, as we've used nature's one such inbuilt “symmetry generating scaling function called CPT(α, Φ) function" to model both fluctuations & inflations. More specifically, it has been developed by leveraging our META-SCALING-PROOF of Riemann Hypothesis(including all $5MM+ unsolved problems of Clay Institute), in such a way to scale/rescale the periodicity of both fluctuations and inflations(aka fluctuations in steroids) by expositioning/birthing their equivalent symmetrical dipoles(manifesting as Higgs + 68 particle+ 68 anti-particle symmetrical particle pairs, as modeled further by 2 spinors of Dirac eqn). For example, this idea of modeling these symmetries using 2 spinors in the complex plane is what gives rise to symplectic hodge geometry lattices in 3 and 4 dimensional classical hyperbolic cylinders of the projected plane.



IAS Scaling High-bar 2:
For any LQFT to be a TOE caliber theory, it must be able to discretize spacetime by renormalizing the RG flow with an action formula for all particles (especially asymmetrical/anti commuting fermions) with a time-like holographic interpretation.


Our Shakespearean play-scaling Rising Action 2.
Again, our wave function of our LQFT/TOE has exceeded this high-bar, as we've used the very same CPT(α, Φ) function as the “symmetry breaking CPT(α, Φ) function scaler”, by limiting the ∞-raised pole of Riemann sphere to a compact P-region, while simultaneously renormalizing the ∞ values of e with α, so that its position can be rotated as e^i137nπ Spin-Frequency (S-F) matched cycles unitarily. In other words, this S-F matching phenomena is what breaks the symmetry by shifting the center of mass of each particle by their respective “radius scaled α” so that their symmetry can be broken to create both classical mass and motion for every 1 out of 137(n) cycles in time dimension (and yet by preserving the conservation of CPT theorem).


IAS Scaling High-bar 3:
For any LQFT to be a TOE caliber theory, it must have a scaling/rescaling/limiting parameter for periodic action for lattice geometry, using a Fourier transformed action for both dS and AdS spaces with the opposite signs [I-ds(g) = - I-Ads(g)].


Our Shakespearean play-scaling Climax 3.
Our wave function of our LQFT/TOE has exceeded this high- bar as well, as we've used the very same Fourier transformed CPT(α, Φ) function scaler, to sustain the action with an “α fine-tuned e and π driven action”(thanks to our additional framing of α as HV/Maxwell daemon/AoC), so that the coefficients & roots of their equivalent algebraic modular forming L-functions can model the periodicity of their GR-Eigen-valued actions via 10+ meta dualities.


IAS Scaling High-bar 4:
For any LQFT to be a TOE caliber theory, it must have measurement algorithms by modeling the curvature of spacetime in proportion to both fluctuations & inflations i.e. ψ ~ e^- δN with an exponent of 10^120 or 10^10) in such a way that gravity can emerge from it


Our Shakespearean play-scaling Falling Action 4.
Our wave function of our LQFT/TOE has exceeded this high-bar using its “Dice-rolling CPT(α, Φ) function scaler”, by slicing/squeezing the infinite slices (ψ ~ e^- δN) of quantum sphere in the form of one or four ellipsoid slices (as per the Descartes kissing circle geometry and α=r/R logic) into an exact radiused symplectic/asymmetric taurusized hodge geometry lattices of classical hyperbolic cylinder of the projected plane(aka Hilbert’s countable infinity hotel as per Banach-Tarski & Russell's paradox) so that they can orbit smoothly like the frames of Muybridge’s Horse in Motion with a curvature proportional to both fluctuations & inflations. This is where we have also additionally hypothesized/predicted that this gravitational motion can be modeled both by semi classical Einstein field equations and/or by our Hodge conjecture meta proof logic.


(Note : For example, a pragmatic implication of our RH meta proof of Hodge conjecture is that the 3+ spherical body problem can be solved as 1 equiv. spherical body as follows : Inertia of r= αR gaped eccentric foci Riemann-Poincare Sphere(s=1) = Σ inertia of Riemann zeroed hodge algebraic cycles (S=1/2+ti).


IAS Scaling High-bar 5:
For any LQFT to be a TOE caliber theory, it must have an inbuilt statistical QM measurement system (for various scales) whose Hilbert space dimension must be able to model geometric dualities as per the static patch holographic principle, so that we can the measures accordingly.


Our Shakespearean play-scaling Resolution 5 :
Our wave function of our LQFT/TOE again has exceeded this high-bar, as we've used the very same “classical reality generating CPT(α, Φ) function scaler”, to resolve the dualities of the static patch holographic principle by projecting the Riemannian sphere as a Lie-grouped classical sphere with 10+ meta dualities as visually depicted in the attached exhibit.



Sure enough, we have also scaled 5 AITGE origins of our TOE (i.e. RH sourced the Action generator of the Lie group as Action, Inertia, Time. Gravity and Entropy) with these 5 ingredients of CPT(α, Φ) function scaler in such a way to answer your mass and radius questions have of particles?




Continued below 👇

[doctari]

OMG. Is there "any" chance you can learn "not" to bang on your bloody microphone?

[LindaTaylor-eu]

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