Volume 1: Student Life Chapter 444: The topic of rotation
"To use the QCD summation rule to calculate the energy spectrum of the 0-three-gluon glueball, we need to first construct a reasonable interpolation flow..."
Time just passes by under Chen Zhou's pen.
The research on mathematics and physics continues in rotation.
The documents downloaded by Chen Zhou also piled up in folders.
Fortunately, Chen Zhou has become accustomed to reading literature on his laptop.
Unless it is particularly important literature that requires in-depth study.
Only then would Chen Zhou go out and print a copy and bring it back.
Otherwise, if Chen Zhou was like those old people who liked paper with the smell of ink.
Then the cost of printing materials alone is a considerable expense.
Yang Yiyi has been going to LIGO for more than half a month.
He only came back once, but only stayed at MIT for one day before returning to LIGO.
According to Yang Yiyi, a new round of LIGO experiments is about to begin.
She has been arranged by Professor Rainer Weiss to be an intern at LIGO and is fully involved in the preparations for the new round of experiments.
Like Chen Zhou, Yang Yiyi also received special training from Rainer Weiss.
At LIGO, intern Yang Yiyi also surprised many people.
According to past practice, international students from China may have better theoretical knowledge.
However, his hands-on ability in experiments is still a little weak.
But the student Yang Yiyi showed strong experimental skills.
Whether it is the familiarity with laboratory equipment, the grasp of the overall experiment, or even suggestions for the experiment.
Yang Yiyi's performance is even more mature than some veteran researchers.
Therefore, Professor Rainer Weiss changed the original plan in time.
Yang Yiyi was kept at LIGO for a long time to conduct research and study.
Regarding the high-quality training that Yang Yiyi received, Chen Zhou felt a little disappointed that she could not stay by his side.
Overall, I am happy for Yang Yiyi.
After all, they supervise and learn from each other.
Whether it is the past, present, or the next second.
They all have to be excellent together.
Time came to the end of October.
In the dormitory, Chen Zhou continued to study the topic of the glue ball experiment and the outpost of his grand mathematical blueprint - Ge Guess.
While studying the strange quantum number glueball, Chen Zhou once again experienced the power of the collection of wrong questions.
In the absence of much literature, Chen Zhou relied on his strong mathematical knowledge and the direction of his wrong question collection to correct himself.
I have discovered a new research path on the peculiar quantum number glueball.
When constructing reasonable interpolation flows, Chen Zhou discovered that there are many flows that satisfy self-selected parity.
However, when gauge invariance and Lorentz invariance are added.
There are only a finite number of flows, and among them there are only four interpolated flows with non-zero lowest dimension.
In response to this situation, combined with the calculation process of the QCD summation rule, Chen Zhou derived the calculation process of the interpolation flow.
That is, j(0→A)－－(x)=ig^3,d^adc［g(αβ→t)G﹋(μν→a)(x)］［eαeβG(νρ→b)］［G(ρμ→c)(x)］.
Although this formula looks simple, the calculation is not complicated.
However, the objects involved in this formula are not simple.
Here a, b, c refer to color indices, and μ, ν, ρ, α, β are Lorentz indices.
In the SUc group represented by d^adc, there is a completely symmetric structural constant.
g(αβ→t)=gαβ—eαeβ/e^2 is the projection operator.
In addition, there is the gluon field strength tensor, the dual field strength tensor of the gluon field strength, and so on.
Even Chen Zhou felt a little overwhelmed.
Thanks to him, even if I feel that the goals achieved by calculation are small goals, when I really calculate, I still try my best and take them 100% seriously.
This will avoid any consequences of contempt.
After all, the calculations and analysis that need to be considered here are indeed complicated enough.
Therefore, Chen Zhou finally understood why research on strange quantum number glueballs was rarely involved in previous studies.
Chen Zhou sorted out the research materials from the previous period.
Then we moved on to the next stage of research.
Based on this interpolation flow formula, Chen Zhou still needs to conduct more in-depth research.
Speaking of which, Chen Zhou also has to thank Professor Artin and Professor Friedman.
Ever since Professor Ating visited Chen Zhou last time, the two professors have continued to teach Chen Zhou in a laissez-faire manner.
Although Professor Ating also sent Chen Zhou information about the sub-project, they had nothing more than occasional email communication.
Basically, it all depends on Chen Zhou's self-awareness.
Professor Friedman is even more straightforward.
Chen Zhou did not take the initiative to contact him and did not send him the data processing information after the last experiment.
He would never take the initiative to "disturb" Chen Zhou.
Unless Chen Zhou has not solved the data from the last experiment and has delayed it until the next experiment in April next year.
Then Friedman probably wouldn't be able to help but ask Chen Zhou what exactly happened.
Therefore, Chen Zhou has absolutely independent time.
The only one who might cause some interference is senior sister Nott.
This senior student came to Chen Zhou's dormitory to look for Chen Zhou more than once when Yang Yiyi was away.
However, every time she came, she brought her own problems.
Chen Zhou couldn't refuse her either.
You can only answer the other party's questions as quickly and efficiently as possible.
Then tell the other person that you are busy and ask them to leave in a friendly manner.
When Nott came, Chen Zhou was immersed in his own world.
Then Nott would be turned away.
And we don’t know how long the door will be closed.
Fortunately, Noether later discovered the pattern.
She would confirm Chen Zhou's condition in advance and then visit him to seek help with the problem.
Of course Chen Zhou also knew the reason why the other party was so diligent.
But if rejection is useless, then you can only use time to make the other party give up on their own initiative.
"Based on the formula for the interpolated flow and the two-point correlation function of the starting point of the QCD summation rule, we can obtain the operator product expansion for two-gluon, three-gluon, and four-gluon condensates..."
"Here |0〉 represents a physical vacuum..."
"As well as the renormalization scale μ, the Wilson coefficients a0, b0, c0, c1, and d0..."
"These Wilson coefficients can only be obtained through QCD theoretical calculations, so..."
Chen Zhou's writing speed was so fast that the only sound in the room was the rubbing of the pen tip against the draft paper.
After obtaining the Wilson coefficient through QCD theoretical calculations.
Chen Zhou then proceeded to the next step of formula derivation.
"On the phenomenological side of the correlation function, the hadron spectrum generally adopts the approximate form of the pole plus the continuous spectrum, so that the imaginary part of the correlation function can be expressed as: 1/πImΠphe(s)=f(G→2)M(0→2)－－δ(s—M(0→2)－－)+ρ(s)θ(s－s0 )..."
Whether it is calculation or theoretical derivation, it is quite difficult.
But, it is Chen Zhou’s strong point after all.
Therefore, the theoretical calculations and theoretical derivations proceeded smoothly.
"The contribution of the excited state and the continuous state ρ(s), the threshold parameter s0, the mass M of the 0-state glueball, and the coupling parameter fG between the glueball and the vacuum in this formula all have a definition..."
“To express it in a formula, it’s 〈0｜j0－－（0）｜G〉＝fGM（0→6）－－……”
"Then, applying the dispersion relation, we can get the formula Π(Q^2)=..."
The thoughts in Chen Zhou's mind were extremely clear, and the pen in his hand was extremely steady when it fell on the draft paper.
It can be said that this part of the content is a bit complicated.
But as long as you understand the key points, grasp it.
That is a question of pure mathematics.
However, Chen Zhou was also a little bit proud.
He felt as if he had touched upon something different in the jelly ball experiment.
This is all thanks to his Lv6 physics and Lv7 mathematics, which are the strong subjects of the two leading brothers.
On the draft paper, Chen Zhou has already derived the correlation function formula obtained by applying the dispersion relation.
Looking at the formula in front of him, Chen Zhou slowed down his pace of derivation.
Take a pen and circle the four subtraction terms in the formula: Π(0), Π'(0), Π''(0), and Π'''(0).
These four are all subtraction items at 0.
Therefore, a relationship between QCD theoretical calculations and the mass of the glueball can be established.
Chen Zhou put down his pen and checked the time.
When Yang Yiyi came back halfway, she warned Chen Zhou that although research is good, one must not forget the time.
After all, what Chen Zhou is engaged in is not a research work that can be completed overnight, nor is it an explosive research that occurs the moment inspiration comes.
Rather, it is the combing of a large amount of literature and the grasp of theoretical knowledge.
Therefore, there will not be a situation where you cannot continue after a pause.
What Yang Yiyi meant was that Chen Zhou could concentrate on his research, but he should not forget to eat.
When Chen Zhou received the warning, he couldn't help but complain. He felt that he really shouldn't have told Yang Yiyi that he forgot to eat every other day just to show that Yang Yiyi was taking good care of him.
When Yang Yiyi heard this, she said, "So, you have to take good care of yourself when I'm not around."
Chen Zhou responded verbally, but silently complained: "Anyway, you're not here, and I don't know if I've eaten or not..."
When Yang Yiyi heard this, she immediately glared at Chen Zhou and said, "What did you say? Say it again for me to hear."
Chen Zhou's head shrank immediately, and he said with a smile: "What I mean is, if you were by my side, I wouldn't have to think about these things, right? Now I still have to think about eating, which is so troublesome~"
"Hmph!" Yang Yiyi snorted, "Anyway, you have to take care of yourself, okay?"
"Yeah, you too." Chen Zhou finally said seriously, "You are alone in LIGO, so you have to take care of yourself, okay?"
Yang Yiyi joked, "If I don't bring you food, how can I not take care of you if I only care about myself?"
Thinking of this, Chen Zhou couldn't help but smile again.
"I don't know. Another half month has passed. How is Yiyi doing over there?"
He shook his head slightly, getting rid of the thought.
Chen Zhou got up and went to wash up.
It's already past 12 o'clock in the evening.
He had no intention of staying up late to do research on his project.
The next day, at the usual time, Chen Zhou woke up.
He stretched himself and got out of bed.
After a quick wash, I went out for a morning run.
"Hi, classmate Chen Zhou?"
On the campus playground.
Chen Zhou looked at the pretty girl in front of him with some confusion: "You... also run in the morning?"
Nott smiled nicely: "Is it not possible?"
"Oh, no..." Chen Zhou said casually, "I just haven't met you before, I thought you just had a sudden idea..."
Nott's expression froze, and he was about to say something else.
Chen Zhou had already run away.
Nott quickly ran after him.
However, what Nott did not expect was that Chen Zhou's physical strength was so good.
Always control the rhythm and run on the track.
But she had already stopped and was walking slowly on the track.
Although he had heard that Chen Zhou had the habit , Nott had always believed that a person who stayed in the dormitory to study difficult problems must not have very good physical fitness.
It was not until he saw it today that Nott realized he was totally wrong.
It turns out that an excellent mathematician not only needs mathematical wisdom, but also a strong physique.
The only thing that might have been misunderstood by Nott was that she thought running was also a way for Chen Zhou to find inspiration.
When passing by Nott walking on the track, Chen Zhou glanced at the man.
This is clearly an example of an impulse to get up early and go for a morning run...
It turns out that I was not wrong just now...
After thinking about it, Chen Zhou no longer cared about this senior sister, and completed today's morning jogging plan steadily according to his usual pace.
However, Chen Zhou didn't expect that this senior sister Nott only ran a few laps.
But just by walking, I actually walked quite a few laps.
It seems like he ran one more lap than her?
Of course Chen Zhou also knew what her purpose was.
But these are really just useless efforts.
So, after finishing my morning run, I was on my way to the cafeteria.
Chen Zhou then tactfully said to senior sister Nott, who once again extended an olive branch and promised to take Chen Zhou into the top alumni association of the Ivy League, "If you can stick to your morning jogging, I will consider it again after a year."
Regarding this unknown word, Nott said without even thinking: "Okay!"
This made Chen Zhou stunned for a moment. Wasn't his original intention to help the other party develop good living habits?
After a pause, Chen Zhou said, "Okay, let's talk about it after you persist for a year."
Nott nodded and said confidently, "I hope you don't break your promise in a year!"
Chen Zhou waved his hand: "Don't worry, I'll think about it carefully after you hold on for a year!"
After Chen Zhou finished speaking, the two of them had already arrived at the cafeteria entrance.
Chen Zhou walked towards the cafeteria.
Behind him, Nott thought about it and followed in.
Although she was not used to eating Chinese breakfast, she didn't mind changing from this step.
While eating breakfast, Nott thought of something and said anxiously, "Student Chen Zhou, can I still come to you to ask questions in the future?"
Chen Zhou smiled softly and said, "If it's just a math problem, you're welcome to come to me."
He still has his own opinion on the fact that Nott took the time to ask him questions.
Moreover, after telling Yang Yiyi.
Yang Yiyi just said one thing: she believed in Chen Zhou.
After returning to the dormitory, Chen Zhou changed his clothes and sat down at the desk.
Last night was the topic of the Glue Ball Experiment.
So, this morning it was Ge Chai's turn to do research.
