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Wondrous Wednesday 08: Quantum Field Theory Introduction

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Summary

Quantum field theory merges special relativity with quantum mechanics. Dirac predicted positrons. Creation/annihilation of particles - bosons (force particles) hit fermions (matter particles). Doesn't work with gravity (general relativity). Infinity problems require renormalization. Bohmian approach may eliminate infinities by taking particle creation seriously. Plans to discuss evolution next.

Transcript

0:00 Welcome to ANI In The Air, under the patio porch, and around Baltimore.
0:08 This is Wondrous Wednesday where I talk about something wondrous.
0:11 This is my second time trying to do this because for some reason I stopped the podcast before
0:18 early and I just kept droning on and on and wasn't recording and I was like, oh, it's
0:22 only five minutes so far.
0:24 And guess what?
0:25 It's way more than five minutes, so I'm kind of sad about that, but whatever.
0:30 You'll have a much better time this time around.
0:33 So I want to talk about quantum field theory.
0:36 Quantum field theory is the theory of dealing with particles with the restriction of, you
0:45 know, the speed of light is this upper limit for velocity.
0:49 That's kind of the core.
0:50 When physicists start tinkering with that idea, particularly Dirac, he basically came
1:01 up with the existence of the positron, which is sort of like an electron, which is this
1:06 little thing that, you know, carries the electricity around.
1:10 Positron is sort of like the positive version of it.
1:13 We don't really see it.
1:16 So he predicted its existence based on some stuff about the equations and then it turned
1:21 out to be true.
1:23 It was found in some experiments, existence of it at least.
1:30 And essentially, you know, there are various narratives about all these things, but you've
1:36 got creation and annihilation of particles.
1:39 That's sort of a core feature of quantum field theory and one can kind of argue that all
1:46 of the interactions, all of the forces, the possible exception of gravity, are all mediated
1:54 by particles kind of interacting with each other.
1:58 So you kind of have these force particles, they're called bosons, and they hit matter
2:03 particles called fermions, and that's sort of how things, so it's kind of like they're
2:13 flying out, they hit these matter things, they get absorbed, and then later on they
2:18 get emitted.
2:21 And that's sort of, quantum field theory is dealing with that, essentially.
2:28 So yeah, so quantum field theory is about that.
2:33 Now, so it has creation and annihilation of particles.
2:38 From a blowing perspective, which, you know, I've talked about before, blowing mechanics,
2:45 the creation and annihilation of particles is, can actually be taken literally.
2:52 So you actually have particles in boiling mechanics and you can actually have them just
2:58 ceasing to exist when they collide with something else and coming into being from nothing.
3:03 It's perfectly fine.
3:04 There's a little bit of randomness in the creation of particles, but that's fine.
3:09 There's also versions that deal with it in terms of there's kind of this sea of particles
3:17 and every now and then one kind of travels out and you suddenly see it.
3:22 So you know, there are different ways of approaching this.
3:32 One thing that quantum field theory does not do is deal with gravity.
3:38 Gravity is a mess.
3:40 Gravity is, in terms of general relativity, says that space and time get mutated by mass,
3:50 by the stuff, right, kind of like, the idea is like this, you have this rubber sheet and
3:55 you have a big ball in the middle and it goes, and it pulls the rubber sheet, stretching
4:00 it out and things are on the rubber sheet suddenly start rolling towards this big mass
4:05 because it's all now curved.
4:07 That's general relativity in a certain sense.
4:12 Very complicated to do computations, but conceptually that's the idea.
4:16 It's very different than the idea of electromagnetism, which is electricity and magnetism and there's
4:22 just this force that's acting and it's just out there.
4:27 Quantum field theory deals with those forces very well.
4:30 It doesn't deal with general relativity very well because you have to describe the background.
4:37 Quantum field theory assumes there's a background.
4:40 So dealing with that is really hard.
4:44 It's various things such as string theory that attempt to do this.
4:48 To the extent that they have predictions, they don't seem to be predictions that can
4:52 be tested any time in the near future, but it can also be very hard to actually get predictions
4:59 out of all these theories.
5:01 Some of these theories have multiple higher dimensions needing to come into play.
5:08 Now on a technical level quantum field theory has a big problem of infinities.
5:16 Basically when they go to compute something, the values get larger and larger and larger
5:23 until they're kind of nonsensical and so they have a process called renormalization that
5:27 allows you to subtract out these infinities.
5:30 And people try to justify it and to some extent it can be, but it's very sort of clunky.
5:41 But then there are theories that you can't do that subtraction and I think general relativity
5:47 kind of fits into that and it's just like, yeah, it's a problem.
5:52 Now from a boiling perspective, what it looks like people are doing with quantum field theory
5:58 is so, you know, the experiments are like you just take these particles, you're running
6:04 through some magnetic field or something to charge them up, get them going very fast and
6:11 then they collide into each other and then you see what comes out of it because you get
6:14 a whole bunch of particles being created from all of this energy and collision and all that.
6:20 So quantum field theory is really about computing those things.
6:26 And so it's natural to kind of think of it as sort of particles just kind of moving freely
6:33 until they get near each other and then there's something that happens.
6:37 And so they try to model it with that and that's basically where infinities come from.
6:45 There's another viewpoint which one of my collaborators came up with where it's like,
6:50 as I said, creation and annihilation of particles happens in quantum field theory and if you
6:56 take that seriously and you try to get everything to kind of balance out with that viewpoint,
7:03 all of a sudden the infinities disappear.
7:07 So far he's only been able to get it to work for some of the simpler models but there's
7:12 no real reason to believe it can't work for the more complicated stuff, it's just really
7:16 hard mathematics.
7:18 So hopefully in the future that'll be a thing.
7:24 So yeah, sort of quantum field theory is basically the merging of special relativity where everything's
7:32 kind of flat with quantum mechanics and you end up with creation and annihilation of particles
7:39 as one of the biggest features.
7:41 You get really complicated looking crazy things to compute.
7:46 You get really thick textbooks and so that's that.
7:55 The standard quantum field theory approaches end up with things that are not so well-defined.
8:01 Like I said, you have all these infinities problems and so they can work around it but
8:06 they still don't really have a good definition of it and so that can be a problem with something
8:14 like Boeing Mechanics where you try to treat reality as existing.
8:18 It's a silly notion, really.
8:23 And so that's why there's this attempt to make it fit Boeing Mechanics better.
8:33 Well it sounds like the rain's coming down, particles flowing all over the place around
8:38 me, so I guess I will take this to say adieu.
8:47 So hopefully these past several weeks of kind of physics stuff has been fun and interesting
8:55 for you.
8:56 I hope to do more Wondrous Wednesdays as we transition online, thinking about talking
9:03 about evolution for a while and then I don't know what else.
9:08 There's lots of wondrous stuff out there so I guess we'll see where this all takes us.